Qualitative methods in continuum mechanics
著者
書誌事項
Qualitative methods in continuum mechanics
（Pitman monographs and surveys in pure and applied mathematics, v. 72）
Longman Scientific & Technical , Wiley, 1994
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内容説明・目次
内容説明
The widespread use of computers in difficult branches of continuum mechanics makes it valuable to draw general conclusions from particular solutions, so that these can be used to estimate quantities of interest instead of having to solve them in detail. This book examines these techniques, using integral solutions, and looks in particular at seepage theory and fracture mechanics.
目次
Minimum principles in seepage theory
Qualitative methods and bounds for flows of visco-plastic fluids through porous media
Elasticity theory. Hooke's law
Elasticity theory. The energy theorems and some energy bounds
Local estimates in crack theory (fracture mechanics)
Estimates on crack volume energy of a body with a crack and approximate formulae for the stress intensity factor
Energetic bounds and sufficient conditions of fracture (non-fracture) of a body with a normal tension crack
Crack problems with unknown boundaries due to the interaction of crack surfaces and variational estimates
9. Some bounds in kinetic crack theory
Estimates in the torsion problem
Appendix. The maximum principle
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