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.

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
some bounds in kinetic crack theory
estimates in the torsion problem
appendix
the maximum principle.

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