Finite element method: physics and solution methods

by Muftu, Sinan

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Title Statements

Full title :Finite element method : physics and solution methods / Sinan Muftu.

Edition Statements

Publication Date:2022.

Publication Statements

Publisher(s):Academic Press
Place of Publication:London
Language:eng
Publication Date:2022.

Notes

Includes index.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780128232002, 0128232005
oclc:on1336457908
LC Classification:TA347.F5
Dewey Decimal:518.25

Front cover -- Half title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Acknowledgments -- Chapter 1 Introduction -- 1.1 Modeling and simulation -- 1.1.1 Boundary and initial value problems -- 1.1.2 Boundary value problems -- 1.2 Solution methods -- Chapter 2 Mathematical modeling of physical systems -- 2.1 Introduction -- 2.2 Governing equations of structural mechanics -- 2.2.1 External forces, internal forces, and stress -- 2.2.2 Stress transformations -- 2.2.3 Deformation and strain -- 2.2.4 Strain compatibility conditions -- 2.2.5 Generalized Hooke's law -- 2.2.6 Two-dimensional problems -- 2.2.7 Balance laws -- 2.2.8 Boundary conditions -- 2.2.9 Total potential energy of conservative systems -- 2.3 Mechanics of a flexible beam -- 2.3.1 Equation of motion of a beam -- 2.3.2 Kinematics of the Euler-Bernoulli beam -- 2.3.3 Stresses in an Euler-Bernoulli beam -- 2.3.4 Kinematics of the Timoshenko beam -- 2.3.5 Stresses in a Timoshenko beam -- 2.3.6 Governing equations of the Euler-Bernoulli beam theory -- 2.3.7 Governing equations of the Timoshenko beam theory -- 2.4 Heat transfer -- 2.4.1 Conduction heat transfer -- 2.4.2 Convection heat transfer -- 2.4.3 Radiati…