An introduction to continuum mechanics:
β J. N. Reddy
π Library
π
2007
π Cambridge University Press
π English
β¦ LIBER β¦
π
Elementary Continuum Mechanics for Everyone: With Applications to Structural Mechanics
β Scribed by Esben Byskov (auth.)
- Publisher
- Springer Netherlands
- Year
- 2013
- Tongue
- English
- Leaves
- 600
- Series
- Solid Mechanics and Its Applications 194
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids.
Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures.
A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
β¦ Table of Contents
Front Matter....Pages i-xxx
Front Matter....Pages 1-1
The Purpose of Continuum Mechanics....Pages 3-4
Large Displacements and Large Strains....Pages 5-31
Kinematically Moderately Nonlinear Theory....Pages 33-33
Infinitesimal Theory....Pages 35-60
Constitutive Relations....Pages 61-85
Front Matter....Pages 87-87
The Idea of Specialized Continua....Pages 89-90
Plane, Straight Beams....Pages 91-124
Plane, Curved Bernoulli-Euler Beams....Pages 125-158
Plane Plates....Pages 159-193
Front Matter....Pages 195-195
Introduction to Beams with Cross-Sections....Pages 197-197
Bending and Axial Deformation of Linear Elastic Beam Cross-Sections....Pages 199-216
Shear Deformation of Linear Elastic Beam Cross-Sections....Pages 217-239
Unconstrained Torsion....Pages 241-269
Introduction to βPlates with Thicknessβ....Pages 271-271
Bending and In-Plane Deformation of Linear Elastic Plates....Pages 273-276
Front Matter....Pages 277-277
Stability: Buckling....Pages 279-280
Stability Concepts....Pages 281-294
Elastic Buckling Problems With Linear Prebuckling....Pages 295-339
Initial Postbuckling With a Unique Buckling Mode....Pages 341-356
Imperfection Sensitivity....Pages 357-372
Front Matter....Pages 277-277
ElasticβPlastic Buckling The Shanley Column....Pages 373-392
Front Matter....Pages 393-393
About the Finite Element Method....Pages 395-396
An Introductory Example in Several Parts....Pages 397-424
Plate Finite Elements for In-Plane States....Pages 425-431
Internal Nodes and Their Elimination....Pages 433-447
Circular Beam Finite Elements, Problems and Solutions....Pages 449-477
Modified Complementary Energy and Stress Hybrid Finite Elements....Pages 479-498
Linear Elastic Finite Element Analysis of Torsion....Pages 499-504
Front Matter....Pages 505-505
Introduction....Pages 507-507
Notation....Pages 509-510
Index Notation, the Summation Convention, and a Little About Tensor Analysis....Pages 511-519
Introduction to Variational Principles....Pages 521-551
Budiansky-Hutchinson Notation....Pages 553-570
Back Matter....Pages 571-593
β¦ Subjects
Continuum Mechanics and Mechanics of Materials; Mechanical Engineering; Appl.Mathematics/Computational Methods of Engineering
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