Plasticity:Mathematical Theory and Numerical Analysis
By B. Daya Reddy

Index

A

a posteriori error estimate, 82
abstract problem Abs, 158
existence and uniqueness, 166
fully discrete approximation Abs hk, 247
spatially discrete approximation Abs h, 238
stability, 167
standard assumptions, 238
time-discrete approximation Abs k, 241
acceleration, 24
affine transformation, 210
angular momentum, 24
balance of, 25

B

B-stability, 318
BD( ?), 6, 171
Babu ka-Brezzi condition, 105, 137, 178, 181
back stress, 52, 54
balance of linear momentum local form, 26
Banach Fixed-Point Theorem, 140
Banach space, 99
bidual, 101
big oh ( O) notation, 12
bilinear form, 100
V-elliptic, 100
bounded, 100
continuous, 100
symmetric, 100
body force, 24
boundary condition
homogeneous Dirichlet, 125
mixed, 131
Neumann, 129
nonhomogeneous Dirichlet, 128
boundary value problem
classical formulation, 127
elliptic, 125
Neumann, 128
of linear elasticity, 133
weak formulation, 127
bulk modulus, 32

C

C( ?), 108
C( ?), 108
C m( ?), 109
C m( ?), 109
C 0,?( ?), 109
C m, ?( ?), 110
C ?( ?), 109
C ?( ?), 109
C ? 0( ?), 112
C m([0, T]; X), 120
Cauchy sequence, 99
Cauchy's Reciprocal Theorem, 25
Cauchy-Schwarz Inequality, 106
Ce 's lemma, 209, 225
generalization of, 228, 230
Cl ment's interpolant, 222
Closed Range Theorem, 104
closest point projection, 353
complementarity condition, 60
compliance tensor, 30, 153
pointwise stability of, 179
configuration
reference, 23
consistency condition, 55,...
Copyright Springer-Verlag London Limited 1999 under license agreement with Books24x7
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