Search

# Solid Mechanics I

Elements of linear elasticity: Kinematics of deformation, equilibrium conditions, and constitutive relationship of materials. Classical problems in elastostatics and general solutions for field equations in elasticity. Anisotropic elasticity, thermal elasticity, chemical strain, nonhomogeneous elasticity.

## ME59700

3

### Learning Objective:

1. Describe the fundamental concepts of a vector and tensor-based mechanics of solid materials and structural elements in mechanical engineering
2. Identify the elements of elasticity describing the geometry of deformation, mechanical equilibrium, and constitutive relationship
3. Define the field equations and general strategies of solving boundary value problems
4. Define and solve problems in 2d and 3d elasticity
5. Solve and contrast boundary value problems in linear elasticity under mechanical and thermal load, anisotropic material behavior, and non-homogeneous field solutions
6. Develop the skill to analyze problems in mechanics of materials, interpret technical literature, and write a technical report about a problem in this field

### Description:

The design of modern engineering structures is intrinsically linked to the understanding and analysis of materials and structures. This course is a foundational course on graduate level knowledge in this area of engineering.

### Topics Covered:

• Elements of linear elasticity: Kinematics of deformation, equilibrium conditions, and constitutive relationship of materials
• Classical problems in elastostatics and general solutions for field equations in elasticity
• Anisotropic elasticity, thermal elasticity

### Prerequisites:

ME 353 Mechanics of Materials or equivalent

### Applied / Theory:

50/50

https://purdue.brightspace.com

### Homework:

One homework set will be due every week, except for weeks during which exams are given.

### Exams:

One mid-term exam and one final exam. Online on zoom.

### Textbooks:

Elasticity: Theory, Applications, and Numerics. 4th Edition. Martin Sadd

### Computer Requirements:

• Software/web resources