Configurational forces and their application in solid mechanics

The theory of configurational forces is presented within the non-linear dynamic framework. The configurational force balance is recast in a form which resembles the equation of motion. Specializations to statics and the small strain case are given. The general use of configurational forces is discus...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2003-09, Vol.22 (5), p.669-692
Main Authors: Gross, Dietmar, Kolling, Stefan, Mueller, Ralf, Schmidt, Ingo
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical methods in physics
Physics
Solid mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Structural and continuum mechanics
Thermodynamics
Viscoelasticity, plasticity, viscoplasticity
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Summary:The theory of configurational forces is presented within the non-linear dynamic framework. The configurational force balance is recast in a form which resembles the equation of motion. Specializations to statics and the small strain case are given. The general use of configurational forces is discussed by help of numerous examples. Additionally the occurrence of configurational forces in the Finite Element Method is illustrated. The numerically induced configurational forces can be used to improve the numerical resolution.
ISSN:0997-7538
1873-7285
DOI:10.1016/S0997-7538(03)00076-7