CE 205 is a graduate-level core course which provides an introduction to the finite element method. While the primary focus of the course is the application of FE to solid and structural mechanics, the mathematical foundations of the finite element method will also be visited. A background graduate-level solid mechanics course (CE 204 / ME 242 or equivalent) is recommended. Please email me if you have any questions.
March 25th: Click here to download the project assignment.
March 11th: Click here to download homework #4.
February 12th: Click here to download homework #3.
February 3rd: The first mid-term exam of CE 205 will be held at 5:00 pm on Saturday, 17th February 2024 in GJ Hall. The exam is closed book, closed notes.
January 30th: Click here to download homework #2.
January 30th: A class TEAM has been created for assignment submission. All assignments should be submitted as a single pdf file.
January 19th: Click here to download homework #1.
January 11th: The TA for this course is Naresh C.
December 31st: The first lecture of CE 205: Finite Element Method will be held on Thursday, 4th January 2024. The venue will be announced shortly.
Principles of FEM and applications to solid and structural mechanics.
CE 284 is a graduate-level elective which aims to provide a broad and modernized introduction to the theory of plates and shells. All requisite mathematical tools will be covered in-course.
A background graduate-level solid mechanics course (CE 204 / ME 242 or equivalent) is recommended. Please email me if you have any questions.
November 26th: Click here to download homework #5, part II.
November 15th: Click here to download homework #5, part I.
November 1st: Click here to download homework #4.
October 14th: Click here to download homework #3.
September 28th: Click here to download homework #2.
August 20th: Click here to download homework #1.
ANNOUNCEMENT: The TA for the class is Naresh C.
ANNOUNCEMENT:The first lecture of CE 284 will be held on Tuesday, 8th August at 3:30 pm in the STLH lecture room.
Review of elasticity and variational principles; classical plate theories; shear plates; elements of large deflection of thin plates; applications of plate theories; differential geometry of surfaces in R^3; curvature; shell theories; engineering applications. Other topics as time permits
CE 228 is a graduate-level plasticity theory course designed for a broad audience of engineering students. While there are no formal prerequisites, a background grad-level course in solid mechanics (CE 204, ME 242, or an equivalent) is desirable.
April 13th: As announced in class, the final exam of CE 228 will be held at 10:00 am on Tuesday, 25th April 2023 in the STLH lecture room. The exam is closed book, closed notes. The syllabus is everything covered in class this semester.
April 13th: Reminder: The project assignment submission deadline is Friday, 21st April 2023.
March 22nd: Click here to download homework #4.
March 7th: Click here to download homework #3.
February 15th: Click here to download homework #2.
February 9th: The first mid-term exam of CE 228 will be held at 4:00 pm on Saturday, 25th February 2023 in the STLH lecture room. The exam is closed book, closed notes. The syllabus is all material from Lecture #1 up to and including Lecture #12.
January 21st: Click here to download homework #1.
ANNOUNCEMENT: The TA for the class is Anupama S.
ANNOUNCEMENT: The first class of CE 228 will be held at 11:30 am on Thursday, 5th January in the STLH lecture room.
1D plasticity and viscoplasticity; dislocations and the physical basis of plasticity; uniaxial tensile test & Bauschinger effect; structure of phenomenological plasticity theories; internal variables; yield criteria (Tresca, von Mises, Mohr-Coulomb, Drucker-Prager); geometry of yield surfaces; Levy Mises equations; flow rules; plastic/ viscoplastic potentials; consistency condition; isotropic and kinematic hardening; Drucker's postulate; Principle of maximum plastic dissipation; associativity; convexity; normality; uniqueness; selected elastic-plastic boundary value problems (tension and torsion of tubes and rods, pressurized thin and thick spherical shells); collapse; advanced hardening models; introduction to computational plasticity; integration of plasticity models; return mapping; principle of virtual work; overview of finite elements for plasticity; other topics as time permits
Plasticity Theory - J. Lubliner
Plasticity for Engineers - C. R. Calladine
Theory of Plasticity - J. Chakrabarty