EN222: Mechanics of Solids Homework 8: More thin films Due Thursday April 20, 2006
Division of Engineering Brown University
1. An isotropic linear elastic circular plate with Poissons ratio , radius R and thickness h is heated to induce a temperature grad
EN222: Mechanics of Solids Homework 7: Plastic limit theorem, thin films Due Thursday April 13, 2006
Division of Engineering Brown University
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1. The figure shows a rigid plastic bar with square cross section wxw and yield stress Y, which is subjected
EN222: Mechanics of Solids Homework 6: Contact Mechanics Due Thursday March 23, 2006
Division of Engineering Brown University
1. The figure shows a rigid wedge with profile f ( x) = k x indenting an isotropic, linear elastic half-
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space with Youngs modu
EN222: Mechanics of Solids Homework 5: Cracks and Contacts Due Thursday March 16, 2006
Division of Engineering Brown University
1. The figure shows a periodic array of edge dislocations with b1 = 0, b2 = b in an infinite solid. Show that the vertical stre
EN222: Mechanics of Solids Homework 4: The Dreaded Polar Coordinates! Due Thursday February 3, 2003
Division of Engineering Brown University
1. Derive results corresponding to those developed in class for the Spherical coordinate system for the Cylindrica
EN222: Mechanics of Solids Homework 3: Dislocations Due Thursday February 23, 2006
Division of Engineering Brown University
1. Set up a symbolic manipulation program to calculate the stresses induced by an edge dislocation at a depth h below the surface o
EN222: Mechanics of Solids Homework 2: Virtual Work, Linear Elastic Constitutive Behavior Due Thursday February 14, 2002
Division of Engineering Brown University
1. Crack initiation and propagation in a solid is often modeled numerically by introducing a
EN222: Mechanics of Solids Homework 2: Dislocations Due Thursday February 16, 2006
Division of Engineering Brown University
1. Using the method of images, calculate the stress fields induced by a screw dislocation near the interface between an elastic sol
EN222: Mechanics of Solids Homework 1: Basic Kinematics and Kinetics Due Tuesday February 3, 2002
Division of Engineering Brown University
1. Write down the displacement field associated with a rigid rotation through an angle about the x3 axis. Calculate
EN222: Mechanics of Solids Homework 1: Asymptotic fields at defects Due Thursday February 9, 2006
Division of Engineering Brown University
1. Consider a linear elastic, isotropic solid with shear modulus , which contains a sharp notch with included angle