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

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：

  6

• 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.