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ASCE 9780784401705 1996

ASCE 9780784401705 1996

$33.04

Numerical Methods in Structural Mechanics

Published By Publication Date Number of Pages
ASCE 1996 429
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PDF Catalog

PDF Pages PDF Title
8 Contents
14 I
16 1 Basic Notions, Equations and Principles
1.1 Basic equations of elasticity
17 1.2 Linear elastic materials
23 1.3 Elastoplastic materials
30 1.4 Damage theory
45 1.5 Viscoplastic materials
50 1.6 Principle of virtual work and variational principles
61 1.7 Convergence criteria
62 1.8 Variational principles in anisotropic and nonhomogeneous elasticity
66 1.9 Variational formulation of rate boundary value problem including softening
67 1.10 Nonlinear systems and stability criteria
71 2 Skeletal Structures
2.1 Basic relations for beams
80 2.2 Truss and beam elements
90 2.3 Curved beam element
92 2.4 Grillage element
95 2.5 Static condensation
101 2.6 Coordinate transformation
107 3 Plates and Shells
3.1 Basic relations for isoparametric elements
111 3.2 Basic relations for triangular elements
113 3.3 Tension-compression bar
114 3.4 Thin-walled elements
116 3.5 Elements for plane problems
135 3.6 Plate elements
154 3.7 Shell elements
158 3.8 Interaction between structure and foundation
164 3.9 Patch test
167 4 Solids
4.1 Tetrahedra
169 4.2 Bricks
170 4.3 Brick with rotational degrees of freedom
173 4.4 Axisymmetric continuum
175 5 Linear Dynamics and Stability
5.1 Basic notions and relations
181 5.2 Methods of eigenvibration analysis
201 5.3 Forced vibration of linear systems
214 5.4 Response to harmonic excitation
220 II
222 6 Semianalytical Methods
6.1 Energy-based beam analysis by Fourier series
225 6.2 Finite strip method
229 6.3 Curved box girders
234 6.4 Plane strip with rotational degrees of freedom
237 7 FE Solution of Special Problems
239 7.1 Torsion of bars
245 7.2 FE solution of diffusion equation
247 7.3 Deformation of soils and other porous materials
253 7.4 FEM in fracture mechanics
265 8 Boundary Element Method
266 8.1 Somigliana’s formulae
272 8.2 Direct version of BEM
279 8.3 Symmetric version of BEM
284 8.4 Transformation field analysis using BEM
290 8.5 Solution of dynamic problems by BEM
295 8.6 Plate analysis by BEM
305 9 Problems of Nonlinear Mechanics
307 9.1 Notation and basic expressions for nonlinear beams
313 9.2 Fundamentals of geometrically nonlinear continuum theory
326 9.3 FEM discretization of geometrically nonlinear structures
342 9.4 Methods for systems of nonlinear equations
353 9.5 Critical (instability) point on the loading path
362 9.6 FEM approach problems including softening and localization
365 9.7 Physically nonlinear and time-dependent BEM
372 10 Adaptive FE Techniques
10.1 p—version of the FEM
376 10.2 Adaptive technique of Zienkiewicz and Zhu
380 10.3 Artificial intelligence methods in an hp-version of the FEM
385 10.4 Multi-grid methods for the solution of systems of linear equations
387 11 Systems with Random Fields
388 11.1 Random properties of a structure
391 11.2 Basic statistical methods
394 11.3 Probabilistic finite element method (PFEM)
404 Bibliography
415 A: Matrix Formulation of Gauss Elimination
417 B: Numerical Integration
424 Index
A
B
C
425 D
E
F
G
426 H
I
J
K
L
427 M
N
O
P
Q
R
S
428 T
U
V
429 W
Y
Z

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ASCE 9780784401705 1996
$33.04