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Contents
List of Figures
List of Tables
Introduction
Finite element theory
General aspects and node labelling scheme
Electrical conductivity
Elastic moduli
Thermal strains (eigenstrains)
Finite difference theory
General description, comparison to finite element method
Derivation of finite difference form of Laplace's equation
Boundary conditions
Explanation of key subroutines and program usage
Subroutine ENERGY
Subroutine DEMBX
Subroutine CURRENT/STRESS
3-D : 2-D relations for programs
Actual program operation
Electric and elastic finite element programs
Eigenstrain programs
Finite difference programs
Exact solutions for testing programs
Definition of effective properties
Series and parallel
Small contrast of properties
Keller and Mendelsen 2-D result for conductivity
Field fluctuation result
Equal shear modulus
Intrinsic properties for spheres, circles, and cubes
Vegard's law and Goodier result for thermal strains
Hashin and Rosen thermal strain result
Mackenzie result for pressurized pore space
CLM Theorem
Other possible uses of programs
Fixed voltages and displacements
Removing periodic boundary conditions
Fixed currents and forces
Surface energies
Making and analyzing images and histograms
General features
Finite element electrical problems
Finite difference electrical problems
Finite element elastic problems
General features of histograms
Examples of histograms
Phase percolation in images
References
Listing of programs and computer requirements
Computer details, access information
Memory requirements
Listing of key programs
ELECFEM3D.F
ELAS3D.F
THERMAL3D.F
DC3D.F
AC3D.F
GAUSS.F
BURN3D.F
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