Finite Element Method: Applications in Solids, Structures, and Heat Transfer

by Gosz, Michael R.

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Title Statements

Full title :Finite Element Method : Applications in Solids, Structures, and Heat Transfer / Michael R. Gosz.

Edition Statements

Publication Date:2005.

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:2005.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781420056556, 1420056557
oclc:on1034988649
LC Classification:TA347.F5
Dewey Decimal:620/.001/51825

Cover; Half Title; Title Page; Copyright Page; Dedication; Preface; Table of Contents; 1: Introduction; 2: Mathematical Preliminaries; 2.1 Matrix algebra; 2.1.1 Multiplication of a matrix by a scalar; 2.1.2 Transpose of a matrix; 2.1.3 Matrix multiplication; 2.1.4 The identity matrix; 2.1.5 Determinant of a matrix; 2.1.6 Inverse of a matrix; 2.1.7 Linear algebraic equations; 2.1.8 Integration of matrices; 2.2 Vectors; 2.2.1 Vector dot product; 2.2.2 Vector cross product; 2.2.3 Vector transformation; 2.3 Second-order tensors; 2.3.1 Tensor transformation

2.3.2 Eigenvalues and eigenvectors of second-order tensors2.3.3 Common operations with vectors and tensors; 2.4 Calculus; 2.4.1 Fundamental theorem of calculus; 2.4.2 Integration by parts; 2.4.3 Taylor series expansion; 2.4.4 Gradient and divergence; 2.4.5 The level surface; 2.4.6 Divergence theorem; 2.5 Newton's method; 2.5.1 Nonlinear equations of several variables; 2.6 Kinematics of motion; 2.7 Problems; 3: One-Dimensional Problems; 3.1 The weak form; 3.2 Finite element approximations; 3.2.1 The linear-u element; 3.2.2 The quadratic-u element; 3.3 Plugging in the trial and test functions

3.4 Algorithm for matrix assembly3.5 One…