Three-dimensional phase field microelasticity theory of a multivoid multicrack system in an elastically anisotropic body: Model and computer simulations

Philosophical Magazine 83 (13):1587-1626 (2003)

The phase field microelasticity theory of a three-dimensional, elastically anisotropic system of voids and cracks is proposed. The theory is based on the equation for the strain energy of the continuous elastically homogeneous body presented as a functional of the phase field, which is the effective stress-free strain. It is proved that the stress-free strain minimizing the strain energy of this homogeneous modulus body fully determines the elastic strain and displacement of the body with voids and/or cracks. The proposed phase field integral equation describing the elasticity of an arbitrary system of voids and cracks is exact. The geometry and evolution of multiple voids and/or cracks are described by the phase field, which is the solution of the time-dependent Ginzburg-Landau equation. Other defects, such as dislocations and precipitates, are trivially integrated into this theory. The proposed model does not impose a priori constraints on possible void and crack configurations or their evolution paths. Examples of computations of elastic equilibrium of systems with voids and/or cracks and the evolution of cracks under applied stress are considered
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/1478643031000080735
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 41,524
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

How Digital Computer Simulations Explain Real‐World Processes.Ulrich Krohs - 2008 - International Studies in the Philosophy of Science 22 (3):277 – 292.
How Can Computer Simulations Produce New Knowledge?Claus Beisbart - 2012 - European Journal for Philosophy of Science 2 (3):395-434.
Computer Simulations as Experiments.Sara Franceschelli - 2009 - Synthese 169 (3):557 - 574.
Particle Behavior in Aesthetic Field Theory.Murray Muraskin & Beatrice Ring - 1974 - Foundations of Physics 4 (3):395-405.
The Big Bang is Not Needed.Allen D. Allen - 1976 - Foundations of Physics 6 (1):59-63.


Added to PP index

Total views
7 ( #855,357 of 2,248,810 )

Recent downloads (6 months)
2 ( #795,491 of 2,248,810 )

How can I increase my downloads?


My notes

Sign in to use this feature