Aerospace Engineering

Faculty

Nikolaos A. Gatsonis, Professor and Department Head; Ph.D., Massachusetts Institute of Technology. Development of continuum, atomistic and hybrid computational methods for fluids, gases and plasmas in regimes that range from nanoscale to macroscale and low- speed to hypersonic. He applies these methods to areas of spacecraft micropropulsion, plasma devices and diagnostics, spacecraft-environment interactions, space experiments, dusty plasmas, complex flows under microgravity, and estimation with unmanned vehicles.

John J. Blandino, Associate Department Head, Professor, and Undergraduate Coordinator; Ph.D., California Institute of Technology. Experimental investigation of plasma discharges and diagnostics including application to cathodes for electric propulsion, electrohydrodynamic effects in two-phase flows, spacecraft design and mission analysis.

Raghvendra Cowlagi, Associate Professor; Ph.D., Georgia Institute of Technology. Autonomous mobile vehicles, motion planning and optimal control, optimal sensor configuration and sensor fusion, generative AI for control systems, reconfigurable robotic manufacturing systems.

Michael A. Demetriou, Professor and Graduate Coordinator; Ph.D., University of Southern California. Control of intelligent systems, control of fluid-structure interaction systems, fault detection and accommodation of dynamical systems, mobile sensor and actuator networks in distributed processes, spacecraft attitude estimation and control, adaptive estimation of spatially distributed processes in native spaces.

Jagannath Jayachandran, Assistant Professor; Ph.D., University of Southern California. Combustion at engine-relevant thermodynamic conditions; ignition, propagation, and extinction of flames; transient phenomena in reacting flows; air-breathing propulsion; detailed modeling of low-dimensional reacting flows; optical and laser-based diagnostics.

Nikhil Karanjgaokar, Associate Professor, Ph.D., University of Illinois at Urbana-Champaign. Experimental mechanics at micro/nano-scale, temperature and rate dependent mechanics of nanostructured materials, dynamic response and flow of granular media, mechanics and damage of inhomogeneous materials, optical measurement techniques.

Ye Lu, Assistant Professor; Ph.D., Purdue University. Astrodynamics and atmospheric flight mechanics, trajectory design and optimization for planetary exploration missions, aerobraking, aerocapture, aerogravity-assist, atmospheric entry, and formulation of novel mission architecture.

David J. Olinger, Associate Professor; Ph.D., Yale University. Aerodynamics, fluid dynamics, wind energy, marine hydrokinetic energy.

Mark W. Richman, Associate Professor; Ph.D., Cornell University. Mechanics of granular flows, powder compaction, powder metallurgy.

Zachary Taillefer, Assistant Teaching Professor; Ph.D., Worcester Polytechnic Institute. Electric Propulsion; Plasma Diagnostics.

Zhangxian Yuan, Assistant Professor; Ph.D., Georgia Institute of Technology. Computational mechanics, structural mechanics, composite structures, structural stability.

Programs of Study

The Aerospace Engineering offers three graduate programs of study with the following degree options:

  • The combined Bachelor of Science (B.S.)/Master of Science Program leading to the B.S. and M.S. degrees (Thesis or Non-thesis option).
  • The Master of Science (M.S.) program leading to the M.S. degree (Thesis or Non-thesis option).
  • The Doctor of Philosophy (Ph.D.) program leading to the Ph.D. degree.

Admission Requirements

For the M.S. program, applicants should have a B.S. in aerospace engineering or in a related field (i.e., other engineering disciplines, physics, mathematics, etc.). The requirements are the same for admission into the thesis and non-thesis options of the M.S. program. At the time of application to the master’s program, the student must specify his/her thesis option (thesis or non-thesis).

For the combined B.S./M.S. program, students must be currently enrolled as WPI undergraduates, or have graduated within the last five years from WPI, in aerospace engineering or in a related engineering field. When applying to the B.S./M.S. program, students must specify their intention to pursue either the thesis or non-thesis M.S. option.

For the Ph.D. program, a B.S. or M.S. degree in aerospace engineering or in a related field (i.e., other engineering disciplines, physics, mathematics, etc.) is required. The Aerospace Engineering Department reserves its financial aid for graduate students in the Ph.D. program or in the thesis option of the M.S. program.

Degree Requirements

The AE degrees are based on coursework and research. Courses are distributed in five curricular areas of study: Fluid Dynamics; Propulsion and Energy; Flight Dynamics and Controls; Materials and Structures; General Aerospace Engineering Topics.

Laboratories and Facilities

Aerospace Engineering

MQP Laboratory
HL005 (AE Faculty)

This 450 sq. ft. facility supports Major Qualifying Project work associated with a number of different aerospace related projects. Workbenches provide the space required for assembly, integration, and testing of hardware, often with more than one student group working together on complex, interrelated projects.

Aerodynamics Test Facility

HL016 (AE)
This 975 sq. ft. laboratory houses a low-speed, closed-return wind tunnel, with a 2 ft x 2 ft x 8 ft test section. The tunnel speed is continuously variable up to 180 ft/s. The temperature in the tunnel can be controlled via a controller and a heat exchanger in the settling chamber. The tunnel is equipped with a two-component force balance and a dynamic thrust stand. Aerodynamic flows including those related to wind energy systems and micro aircraft are studied in this laboratory with the aid of traditional pressure, temperature, and velocity sensors. The test facility is used for graduate research and undergraduate projects.

Laboratory for Fluids and Plasmas

HL016, HL314, and HL305 (Blandino, Gatsonis)
The Laboratory for Fluids and Plasmas (LFP) supports research and educational activities in electric and chemical micropropulsion, plasma diagnostics, spacecraft-environment interactions, and microfluidics.

LFP-016 is a 450 sq. ft facility that houses a 50-inch diameter, 72-inch long stainless steel vacuum chamber (T2) used primarily for the characterization of electric thruster component performance and investigation of spacecraft-environment interactions. The pumping system for T2 consists of a 20-inch cryopump backed by a rotary mechanical pump and positive displacement blower enabling ultimate pressure in the 10-7 torr range. LFP-016 also houses a second 29.75-inch diameter, 34.25-inch tall stainless steel vacuum chamber (T4) used for electric propulsion research including radio-frequency cathodes and pulsed plasma thrusters. T4 is pumped by a turbomolecular pump backed by a dual-stage mechanical pump achieving an ultimate pressure in the low 10-6 torr range. Both T2 and T4 are equipped with multiple ports for electrical and optical access. LFP-016 is also equipped with a variety of ancillary instrumentation including RF and DC power supplies, oscilloscopes, as well as data acquisition and flow delivery hardware.

LFP-314 and LFP-305 comprise a combined 600 sq. ft. facility housing two vacuum chambers and specialized test facilities for the investigation of onboard micropropulsion, electrospray sources (for both propulsion and nano-fabrication applications), plume-spacecraft interactions, microsensors, and microfluidics.  The first chamber (T1) is an 18-inch diameter, 30-inch tall stainless steel bell-jar equipped with a 6-inch diffusion pump backed by a mechanical pump.  The second vacuum chamber (T3) is a 22.5-inch diameter, 32-inch tall stainless steel bell-jar. It is equipped with a 6-inch diffusion pump backed by a dual stage rotary vane pump. Both T1 and T3 are capable of achieving an ultimate pressure in the 10-6 torr range. T3 also includes a computer-controlled probe positioning system to achieve precise, three degree-of-freedom positioning for diagnostic probes. In addition, T3 is equipped with a 3-centimeter Kaufman ion source with a computer-controlled, mass flow delivery system. For microfluidics research, LFP-314 includes equipment to enable study of two-phase flows in microchannels. Ancillary equipment includes a high-speed camera, high-voltage power supplies for studies of electrohydrodynamic phenomena, a fume hood, syringe pump, oscilloscopes, precision source meter, electrometer, and digital multimeters. LFP-314 also includes dedicated workspaces for electronics test and fabrication.

Aerospace Engineering Computational Laboratory

HL236 (AE )
This 660 sq. ft. facility is used for research in computational methods and their applications to fluid and plasma dynamics, propulsion, flight dynamics, controls, materials, and structures. AECL provides access to a dedicated high performance computing cluster.

Combustion Research Laboratory

HL026 (Jayachandran)
The Combustion Research Laboratory (CRL) is used for fundamental research and educational activities in laminar as well as turbulent, high activation energy reacting flows of relevance to aerospace propulsion and  power generation. CRL is equipped with high pressure combustion facilities, high speed imaging, and laser based diagnostics.

Structures and Materials Laboratory

HL028, HL305 (Karanjgaokar)
The structures and material laboratory is used for undergraduate and graduate research in field of mechanics of novel materials and structures used in aerospace systems. The laboratory is equipped with NI Compact DAQ acquisition system for actuation and sensing applications to understand the mechanics of structures and materials. The laboratory includes an optical microscopy suite to visualize the full-field deformation of nanostructured materials with nanoscale resolution using Digital Image Correlation (DIC). The laboratory also hosts a high speed imaging system to investigate the mechanics of granular media under dynamic loading and the flow of granular media. The laboratory also focusses on the dynamic response of granular media and inhomogeneous materials using a gas-gun based impact testing setup. The laboratory is equipped with a Laser Scanning Doppler Vibrometer system to measure the velocity of vibrations in structures like particle dampers and ferroelectrics in low and high frequency ranges.

Laboratory for Intelligent Systems and Control

HL312A (Demetriou)
The (Laboratory for Intelligent Systems and Control) is a 400 sq. ft. facility equipped for experiments in control of unmanned aerial vehicles, wheeled robots, submersible vehicles, spacecraft, and dynamical systems with flexible structures. Workbenches equipped with power supplies, amplifiers, signal generators, data acquisition systems, and oscilloscopes are provided. For experiments in vehicle autonomy, state-of-the-art microcontroller platforms, such as the Raspberry Pi 2, along with sundry electronic components are available for rapid prototyping and implementation of onboard vehicle control systems. A network of off-the-shelf radio-controlled vehicle platforms such as the IRIS quadrotor helicopters are available. A network of wirelessly-controlled autonomous mobile robots such as the Clearpath Husky A200 UGV with onboard computer, IMU, and Velodyne LIDAR, the TurtleBot with LIDAR, and  the iRobot Create wheeled robots are available. For experiments in control and optimization of flexible structures, an active vibration isolation table, velocity sensors, accelerometers, piezoceramic patches for actuation and sensing and a dSPACE® ACE1103 real-time data acquisition and control package are available.

Laboratory for Spaceflight and Planetary Exploration

HL312B (Lu)
The lab is aimed to enable the next generation of space exploration and has core mission design capabilities for research in astrodynamics, atmospheric flight mechanics, and broad search algorithms for planetary exploration missions. The lab will be equipped with hardware-in-the-loop simulations for spacecraft attitude and orbit dynamics.

Autonomy, Controls, and Estimation Laboratory

HL311 (Cowlagi)
The Autonomy, Controls, and Estimation (ACE) Laboratory is a 400 sq. ft. facility equipped for experiments related to motion planning and control of autonomous mobile vehicles in unknown or uncertain environments. The lab is home to a portable Vicon motion capture system consisting of 8 Vicon Vero 2.2 cameras with heavy duty tripod mounts. The motion capture system provides localization with a 1mm accuracy. The lab also provides other highly portable localization systems: a Pozyx wifi-based system and a Polhemus radio-based system. Workbenches equipped with power supplies, amplifiers, signal generators, data acquisition systems, and oscilloscopes are available. Several microcontroller platforms such as the Nvidia Jetson and Jetson Nano, aerial vehicle autopilot and remote control hardware, and sundry electronic components are available for rapid prototyping and implementation of onboard vehicle control systems. A multitude of off-the-shelf radio-controlled aerial vehicle and wheeled robotic vehicle platforms are available.

Aerospace Engineering Experimentation and Data Science Laboratory

HL216 (AE)
This 570 sq. ft. facility houses table-top and portable experimentation apparatuses used for hands-on experimentation and data analysis in aerospace engineering courses.  The apparatuses are also used during engineering lectures in the adjacent Discovery Classroom in a combined analytical-numerical-experimental approach.

Aerospace Engineering Graduate Student Office

HL 034 (AE)
This 285 sq. ft. facility provides office space for teaching and research assistants of the aerospace engineering department.

Classes

AE 5031: Applied Computational Methods for Partial Differential Equations

Credits 2.0

The course provides at an entry graduate level the theory and practice of finite difference and finite elements methods for partial differential equations (PDEs) encountered in fluid dynamics and solid mechanics. Topics covered include: classification of partial PDEs and characteristics; direct and iterative solution methods for solution of algebraic systems; finite difference and finite element spatial discretization; temporal discretization; consistency, stability and error analysis; explicit and implicit finite differencing and finite element schemes for linear hyperbolic, parabolic, elliptic PDEs. The course requires completion of several projects using MATLAB. Students cannot receive credit for this course if they have taken AE/ME 5108 “Computational Fluid Dynamics”.

AE 5032: Aerospace Engineering Seminar

Credits 0.0

(0 credits) The Seminar is a degree requirement for all graduate students and is offered during A, B, C, and D term. The Seminar consists of presentations by experts on technical and broader professional topics. Presentations are also offered by graduate students on topics related to their directed research, dissertation, or industrial experiences. The Seminar is offered in pass/fail mode based on attendance.

AE 5093: Special Topics

Credits 2.0

Arranged by individual faculty with special expertise, these courses survey fundamentals in areas that are not covered by the regular aerospace engineering course offerings. Exact course descriptions are disseminated by the Aerospace Engineering Program in advance of the offering.

AE 5095: Independent Study

Credits 1.0 3 Variable

An independent study may be used as a substitute for an existing AE course or as an opportunity to study an aerospace engineering topic not currently offered as a course at WPI. The course can be offered to a student or a group of students. The requirements and deliverables are specific to the topic and are determined by the instructor.

AE 5098: Directed Research

Variable

These courses are offered by aerospace engineering faculty and cover diverse topics that range from 1 to 8 credits and may be completed in one or multiple terms. These courses provide M.S. and B.S./M.S. students the opportunity to gain research experience on topics of their interest. The required deliverables for successful completion of Directed Research are defined by the faculty offering the course and take into account the credits and topic involved.

AE 5099: M.S. Thesis

Graduate students enrolled in the Master of Science thesis-option program must complete 8 credits total in AE 5099, present the results in a public forum approved by the Thesis Advisor, and submit a Master’s thesis approved by the Thesis Advisor and the AED Graduate Coordinator.

AE 5131: Incompressible Fluid Dynamics

Credits 2.0

This course presents topics in incompressible fluid dynamics at the introductory graduate level. Topics are chosen from: continuum fluids; kinematics and deformation for Newtonian fluids; integral and differential form of the mass conservation, momentum and energy equations; potential flows; unidirectional steady incompressible viscous flows; unidirectional transient incompressible viscous flows; boundary layers; vortical flows. Students cannot receive credit for this course if they have taken AE/ME 5101 “Fluid Dynamics” or AE/ME 5107 “Applied Fluid Dynamics.”

AE 5132: Compressible Fluid Dynamics

Credits 2.0

This course presents applications of compressible fluid dynamics at an introductory graduate level. Topics are chosenfrom: conservation laws; propagation of disturbances; compressible flow with friction; method of characteristics,analysis and design of supersonic nozzles, diffusers, and inlets; transonic and supersonic thin-airfoil theory; three-dimensional compressible flows; compressible boundary layers; hypersonic flows; unsteady compressible flows. Students cannot receive credit for this course if they have taken AE 5093 ST: Applied Compressible Fluid Dynamics.

AE 5133: Kinetic Theory of Gases and Applications

Credits 2.0

The course presents kinetic theory of gases and its application to equilibrium flows and nonequilibrium flows at the introductory graduate level. Fundamental topics are chosen from: equilibrium kinetic theory; binary collisions; the Boltzmann equation; transport theory and equations. Application topics are chosen from: free molecular aerodynamics; shocks; non equilibrium flows. Students cannot receive credit for this course if they have taken AE/ME 5102“Advanced Gas Dynamics”.

AE 5134: Plasma Dynamics

Credits 2.0

The course introduces concepts of partially ionized gases (plasmas) and their role in a wide range of science and engineering fields. Fundamental topics include: motion of charged particles in electromagnetic fields; equilibrium kinetic theory; collisions; transport theory; fluid equations; magnetohydrodynamic models; sheaths. Application topics are chosen from: plasma diagnostics; plasma discharges; spacecraft/environment interactions, and plasma-assisted materials processing. Students cannot receive credit for this course if they have taken AE/ME 5110 “Introduction to Plasma Dynamics”.

AE 5231: Air Breathing Propulsion

Credits 2.0

This is an introductory graduate level course that covers principles of operation, design, and performance analysis of air-breathing propulsion engines. Topics will be chosen from: jet propulsion theory; cycle analysis of turbojets, turbofans, and ram compression engines; gas dynamics of inlet and nozzle flows; thermochemistry and chemical equilibrium; combustor modeling; hypersonic propulsion; and operation of detonation engines. Students cannot receive credit for this course if they have taken AE 5106 “Air Breathing Propulsion”.

AE 5232: Spacecraft Propulsion

Credits 2.0

This course introduces concepts needed to evaluate the performance of the most commonly used electric and chemical spacecraft propulsion systems. Fundamental topics in electric propulsion include plasma generation and ion acceleration, magnetic field design, and beam neutralization. Applications include electrostatic ion and Hall thrusters. Fundamental topics in chemical propulsion include propellant thermochemistry and ideal performance. Applications include bipropellant and monopropellant chemistry, catalyst-bed, and nozzle design considerations. Discussion of each class of thruster will be supplemented with specific examples of flight hardware. Students cannot receive credit for this course if they have taken AE/ME 5111 “Spacecraft Propulsion”.

AE 5233: Combustion

Credits 2.0

This course introduces the principles that govern the conversion of chemical energy to thermal energy in reacting flows or combustion. Topics will be chosen from: chemical thermodynamics; chemical kinetics; transport phenomena; conservation equations; deflagrations; detonations; and diffusion flames. The course will also include discussions on energy landscape; combustion in propulsion and power generation devices; and pollutant formation. Students cannot receive credit for this course if they have taken AE5093 ST “Principles of Combustion”.

AE 5234: Sustainable Energy Systems

Credits 2.0

The course provides an introduction to sustainable energy systems, outlining the challenges in meeting the energy needs of humanity and exploring possible solutions. Specific topics include: the current energy infrastructure;historical energy usage and future energy needs; electricity generation from the wind; ocean energy (marine hydrokinetic energy; wave energy); tethered energy systems, energy for transportation; fuel cells; solar-photovoltaic systems; geo-thermal and solar-thermal energy; energy storage; and engineering economics. Students cannot receive credit for this course if they have taken AE/ME 5105 “Renewable Energy”.

AE 5331: Linear Control Systems

Credits 2.0

This course covers analysis and synthesis of control laws for linear dynamical systems. Fundamental concepts including canonical representations, the state transition matrix, and the properties of controllability and observability will be discussed. The existence and synthesis of stabilizing feedback control laws using pole placement and linear quadratic optimal control will be discussed. The design of Luenberger observers and Kalman filters will be introduced. Examples pertaining to aerospace engineering, such as stability analysis and augmentation of longitudinal and lateral aircraft dynamics, will be considered. Assignments and term project (if any) will focus on the design, analysis, and implementation of linear control for current engineering problems. The use of Matlab®/Simulink® for analysis and design will be emphasized. Recommended background: Familiarity with Matlab®. Students cannot receive credit for this course if they have taken AE/ME 5220 “Control of Linear Dynamical Systems”.

AE 5332: Nonlinear Control Systems

Credits 2.0

Overview of stability concepts and examination of various methods for assessing stability such as linearization and Lyapunov methods. Introduction to various design methods based on linearization, sliding modes, adaptive control, and feedback linearization. Demonstration and performance analysis on engineering systems such as flexible robotic manipulators, mobile robots, spacecraft attitude control and aircraft control systems. Theoretical foundations of machine learning via adaptive functional estimation of dynamical systems. Control synthesis and analysis is performed using Matlab®/Simulink®. Prerequisites: Fluency with the theory of linear dynamical systems and control (AE 5331 or similar). Fluency with Matlab®. Students cannot receive credit for this course if they have taken AE/ME 5221 “Control of Nonlinear Dynamical Systems”.

AE 5333: Optimal Control for Aerospace Applications

Credits 2.0

This course covers the synthesis of optimal control laws for linear and nonlinear dynamical systems, with a strong focus on aerospace engineering applications. Topics covered include: necessary conditions for optimal control based on the Pontryagin Minimum Principle will be introduced, and including cases of fixed and free terminal time and boundary conditions; will be discussed. Feedback optimal control will be discussed, and the Hamilton-Jacobi-Bellman equation will be introduced. The special case of linear quadratic optimal control; basic numerical techniques such as pseudospectral optimization; and modern machine learning techniques such as reinforcement learning will be discussed. Examples throughout the course will be based on air- and space vehicle applications, such as flight trajectory optimization. Assignments and term project (if any) will introduce basic numerical techniques and introduce software packages for optimal control. Prerequisites: Fluency with the theory of linear dynamical systems and control(AE 5331 or similar) and with MATLAB programming. Students cannot receive credit for this course if they have taken AE 5222 “Optimal Control”.

AE 5334: Spacecraft Dynamics and Control

Credits 2.0

Overview of spacecraft orbital and rotational motion. Overview and sizing of actuating devices such as gas jet, electric thrusters, momentum wheels and magnetic torquers. Overview and selection of sensing devices such as sun sensors, magnetometers, GPS, IMUs. Formulation of spacecraft maneuvers as control design problems. Estimation techniques for orbit determination and attitude estimation. Static attitude determination methods. Kalman filtering for attitude estimation. Fundamentals of orbit determination. Attitude control based on Lyapunov methods. Case studies on feedback attitude regulators and algorithms for linear and nonlinear attitude tracking. Design and realization of attitude and orbital control schemes using Matlab®/Simulink®. Prerequisites: Fundamentals of spacecraft orbital motion and attitude dynamics at the undergraduate level. Fluency with the theory of linear dynamical systems and control (AE 5331 or similar) and with Matlab® programming. Students cannot receive credit for this course if they have taken AE 5223 “Space Vehicle Dynamics and Control”.

AE 5335: Autonomous Aerial Vehicles

Credits 2.0

This course discusses the foundations of autonomy of aerial vehicles including fixed-wing aircraft and quadrotor aircraft. Topics covered include: localization using inertial sensors, GPS, and computer vision; extended Kalman filtering for localization; trajectory planning; feedback guidance for trajectory tracking; and low-level autopilot control design. Whereas this course will review aircraft dynamics, familiarity with this topic at an undergraduate level isbeneficial. Students cannot receive credit for this course if they have taken AE 5224 “Air Vehicle Dynamics and Control”.

AE 5431: Solid Mechanics for Aerospace Structures

Credits 2.0

This course is an introductory graduate level course. Fundamental topics will be chosen from the following: three-dimensional states of stress; measures of strain; plane stress and plane strain; thermoelasticity; Airy stress function; and energy methods. Applied topics will be chosen from the following: bending and shear stresses on unsymmetric cross-sections; bending of composite beams; bending of curved beams; torsion of thin-walled noncircular cross sections; and failure criteria. Students cannot receive credit for this course if they have taken AE/ME 5380 “Foundations of Elasticity” or AE/ME 5381 “Applied Elasticity”.

AE 5432: Composite Materials

Credits 2.0

This course covers the anisotropic constitutive behavior and micromechanics of composite materials, and the mechanics of composite structures at an introductory graduate level. Topics covered will be chosen from: classification of composites (reinforcements and matrices), anisotropic elasticity, composite micromechanics, effect of reinforcement on toughness and strength of composites, laminate theory, statics and buckling of laminated beams and plates, statics of laminated shells, residual stresses and thermal effects in laminates. Students cannot receive credit for this course if they have taken AE 5383 “Composite materials”.

AE 5433: Aeroelasticity

Credits 2.0

This course provides a graduate-level introduction to static and dynamic aeroelasticity, for conventional aircraft.Students will be presented with analytical and computational techniques used to model and simulate aeroelasticity. Topics covered will be chosen from: divergence; aileron reversal; airload redistribution; sweep effects; unsteady aerodynamics; and flutter of wings. Students cannot receive credit for this course if they have taken AE/ME 5382 “Aeroelasticity”.

AE 5434: Computational Solid Mechanics

Credits 2.0

This course presents finite element methods with applications to structures and structural dynamics at introductory graduate level. It focuses on linear elasticity and topics covered will be chosen from: introduction on numerical methods in solids mechanics; variational methods of approximation; formulation of finite elements and interpolation functions; assembly and solution processes; isoparametric formulation; stress recovery procedures; locking phenomenon; and dynamic problems. The course requires completion of several FEM projects and knowledge of a computer programming language.

AE 5435: Fracture Mechanics

Credits 2.0

This course focuses on the analytical techniques and applications of fracture mechanics at introductory graduate level. In particular, there is an emphasis on cracks in linear elastic and elasto-plastic materials encountered in high integrity aerospace structural applications. Topics covered will be chosen from: stress concentration and stress singularity near cracks, computation of stress intensity factors and asymptotic K fields, linear elastic fracture mechanics, energy methods, stability of crack propagation, cohesive fracture, basics of plasticity theory, plastic zone, small-scale yielding (SSY), HRR asymptotic fields, mixed mode fracture and elasto-plastic crack growth.

AE 6093: Advanced Special Topics

Credits 2.0

Arranged by individual faculty with special expertise, these courses cover advanced topics that are not covered by the regular aerospace engineering course offerings. Exact course descriptions are disseminated by the Aerospace Engineering Department in advance of the offering.

AE 6999: Ph.D. Qualifying Examination

Credits 0.0

Admission to Candidacy will be granted when the student has satisfactorily passed the Ph.D. Qualifying Examination (AE 6999). The Qualifying Examination is intended to measure each student’s fundamental knowledge in two Curricular Areas to be chosen by the student from the following: Fluid Dynamics; Propulsion and Energy; Flight Dynamics and Controls; and Materials and Structures. The AE 6999 Ph.D. Qualifying Examination is graded using a Pass/Fail system as determined by a) the results from the written Candidacy Test in the two Curricular Areas chosen by the student and b) the student’s performance in graduate courses taken at WPI in the same two Curricular Areas.

The written Candidacy Test is typically offered during the first week of B and/or D term. A student will be tested on material from two (2) graduate courses of their choice in one AE Curricular Area and on material from one (1) graduate course of their choice in a second AE Curricular Area. In the term preceding the written Candidacy Test, a student must inform the Graduate Coordinator about their selection of the two Curricular Areas and the three courses. The written Candidacy Test is graded using the Satisfactory/Not Satisfactory Performance (SP/NP) grading system and has no retake.

If a student fails to register or fails to earn a Pass in the AE 6999 Ph.D. Qualifying Examination prior to completion of 18 credits after admission to the Ph.D. program, the student must withdraw from the Ph.D. program by end of the B term or D term of the year registered for the Qualifying Examination.