彈性力學

This course provides students the fundamental theories of deformation and stress analysis for linearly elastic solids.

Mechanics of Materials, Engineering Mathematics

無備註

1. Online meeting through Google Meet: https://meet.google.com/zch-cwwm-swg 2. Class notes, solutions of homework, and other notices will be announced in e3-website.

Homework assignments + Quizzes (20%), Midterm exam (40%), Final exam (40%)

• Mathematical Preliminaries

  Vector Analysis, Tensor Algebra, Index Notation

  講授：

  3

• Deformation of Solids

  Displacements, Strains, Compatibility

  講授：

  3

• Stresses and Equilibrium

  Body and Surface Forces, Cauchy Stresses, Stress Transformation, Spherical, Deviatoric, Octahedral, and von Mises Stresses

  講授：

  3

• Material Behavior of Linear Elastic Solids

  Strain Energy, Linear Elastic Materials, Thermoelastic Constitutive Relations

  講授：

  3

• Formulation and Solution

  Field Equations, Boundary Conditions, Stress Formulation, Displacement Formulation, Reciprocity Theorem

  講授：

  3

• Two-Dimensional Elasticity

  Plane Strain, Plane Stress, Generalized Plane Stress, Antiplane Strain, Airy Stress Function, Cartesian Coordinate Formulation, Polar Coordinate Formulation, Michell Solution

  講授：

  6

• St. Venant Problems of Linear Elasticity

  Extension, Bending, Flexure, and Torsion

  講授：

  3

• Wedge Problems

  Eigenfunction Expansion Method

  講授：

  3

• Plane Contact Problems

  The Flamant Solution, Hertz Problem

  講授：

  3

• Complex Variable Methods

  Complex Formulation, Complex Potentials, Applications to Fracture Mechanics

  講授：

  6

• General Solution of Three-dimensional Elasticity

  Displacement Potentials and Stress Functions

  講授：

  6

1. M. H. Sadd, Elasticity: Theory, Applications, and Numerics, 2nd Ed., Elsevier, 2009. 2. J. R. Barber, Elasticity, Kluwer Academic Publishers, 1992.

地點

EE 462 room.

時間

To make an appointment by E-mail.

聯絡方式

E-mail: ccyin@mail.nctu.edu.tw; Campus phone: 55151.