ES128 - Computational Solid and Structural Mechanics

Location: Pierce 209

Time: Mon - Wed - Fri 1 - 2 pm

Computer lab: Mon 12 -1 pm (Pierce 320)

Instructor: Katia Bertoldi - Pierce 317 - bertoldi@seas.harvard.edu

Teaching fellow: Jian Zhu - Pierce 403 - jzhu@seas.harvard.edu

Office Hours: Katia - Wed 2-3 pm; Jian - Thursday 11am-12pm

Textbook: A First Course in Finite Elements (Jacob Fish, Ted Belytschko)

 

Timetable Spring 2010

Week

Mon

Wed

Fri

Computer Lab

Jan 25-31

Introduction

Introduction

Trusses

 

 

Feb 1-7

Trusses 

Problem sets #1 is given

Trusses 

Intro - software setup

 

 

Trusses 

 

 

Feb 8-14

Strong form in 1D

Weak form in 1D

Approx of trial solutions

Computer ass #1 is given

Feb 15-21

 Presidents day

Problem sets #1 is due

FE formulation in 1D 

 

 

 

Problem sets #2 is given

 

 

Feb 22-28

FE formulation in 1D 

Strains in 3D

Stresses in 3D

Computer ass #2 is given

Computer ass #1 is due

Mar 1-7

 Linear elasticity: equil equations

Problem sets #2 is due

Approximation of functions in 2D 

 FE formulation for 2D linear elasticity

 

 

Problem sets #3 is given

 

 

Mar 8-14

FE formulation for 2D linear elasticity

Exercise: 2D elasticity problem

Presentation Project proposal

Computer ass #3 is given

Computer ass #2 is due

Mar 15-21

 Spring break

 Spring break

 Spring break

 Spring break

 

 

 

 

Mar 22-28

Isoparametric formulation 

Isoparametric formulation 

Problem sets #3 is due

Beams

Project proposal is due

 

 

 

Problem sets #4 is given

 

 

Mar29- Apr 2

Beams

Beams

Beams

Computer ass #4 is given

Computer ass #3 is due

Apr 5-11

Beam-axial elements 

Problem sets #4 is due

Structural Dynamics:

Truss elements 

 

 

 

Problem sets #5 is given

 

 

Apr 12-18

Computer ass #5 is given

Computer ass #4 is due

Apr 19-25

 

 

 

 

 

Problem sets #5 is due

 

 

 

 

Problem sets #6 is given

 

 

Apr 26-30

Project presentation

 Semester ends

Computer ass #5 is due

 

May 3 -9

 Semester ends

Problem sets #6 is due

 Semester ends

 

 

 

 Project report is due

 

 

 

Additional material

Notes on Structural Dynamics are here and here (from -Fundamentals of Finite Element Analysis-, D.H. Hutton)

 

Computer lab

Instructions to download and install ABAQUS on your laptop are here

Tutorial - 02/01/2010

LearningABAQUS.pdf

Truss3.inp

Assignment #1 - 02/08/2010

ES128_computer_assignment_1.pdf

truss1.inp

FEM_Units.pdf

Assignment #2 - due on Monday 03/08/2010

ES128_computer_assignment_2.pdf

plate1.inp

Assignment #3 - due on Monday 03/29/2010

ES128 computer assignment 3.pdf

Input_Beam.inp

Assignment #4 - due on Monday 04/12/2010

ES128_computer_assignment_4.pdf

Input4.inp

Assignment #5 - due on Monday 04/26/2010

ES128_Computer_Assignment_5.pdf

 

Homework

Homework #1 - due on Wed 02/17/2010

Homework1.pdf

Solution_Homework1.pdf

Homework #2 - due on Wed 03/03/2010

Homework2.pdf

Solution_Homework2.pdf

Homework #3 - due on Wed 03/17/2010

Homework3.pdf

Solution_Homework3.pdf

Homework #4 - due on Wed 04/07/2010

Homework4.pdf

Solution_Homework4.pdf

Homework #5 - due on Wed 04/21/2010

Homework5.pdf

Solution_Homework5.pdf

Homework #6 - due on Wed 05/05/2010

Homework6.pdf

Solution_Homework6.pdf