By Vassilios K. Kalpakides, Gerard A. Maugin

ISBN-10: 0203024559

ISBN-13: 9780203024553

ISBN-10: 905809667X

ISBN-13: 9789058096678

This e-book contains papers that have been awarded on the Symposium on Configurational Mechanics, throughout the fifth EUROMECH Soil Mechanics convention in Thessaloniki in August 2003. Configurational (or fabric) mechanics -in distinction to Newtonian mechanics in Euclidean area- matters any kind of switch or "motion" within the fabric configuration. This framework offers a unique and unifying view on another way assorted disciplines like fracture mechanics, part transitions, plasticity and dislocation conception. furthermore, configurational mechanics can be utilized in computations since it presents a fruitful interpretation of the sphere equations within the discretized space.This quantity comprises 11 contributions from experts from round Europe Articles problem either theoretical and computational mechanics, electroplasticity, magnetoelasticity, elastoplasticity in addition to granular, multiphase and micropolar media.

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**Extra info for Configurational Mechanics: Proceedings of the Symposium on Configurational Mechanics, Thessaloniki, Greece, 17-22 August 2003**

**Example text**

Material forces on the boundary appear as reaction forces to the constraint imposed by the fact that the boundary is fixed in the reference configuration. Question: does there exist a “better” internal arrangement of the nodes for which the material forces vanish? This is a finite dimensional optimization problem which may Figure 1. (a) Block loaded by displacement w; (b) network of material forces. Page 8 Figure 2. Specimen with a crack and a hole loaded by a dead displacement w. Figure 3. (a) Trajectory of crack tip: hole far enough from starting point; (b) Trajectory of crack tip: hole too close to starting point and the hole is missed.

This illustration having only pedagogical purpose no threshold value of crack initiation is here introduced although a value à la Griffith could be introduced (so-called energy criterion). Other examples can be found in Mueller and Maugin (2002). The question is naturally raised of the adaptivity of the FE method using the Eshelby-stress tensor notion. The magnitude of the discrete material forces which are computed in the post-processing of the solution of the material force balance–eqn. (23) written in a weak form -may be used as an indicator for mesh refinement (here a scalar indicator).

Material forces in thermoelastic ferromagnets. Continuum Mech. Thermodyn. 8:275–292. Grinfeld, M. 1991. Thermodynamic Methods in the Theory of Heterogeneous Systems. Harlow, Essex: Longman. E. 1999. Configurational Forces as Basic Concepts of Continuum Physics. New York: Springer-Verlag. Imatani, S. A. 2003. A Constitutive modeling for growing materials and its applications to finite-element analysis. ASME. Tran. J. Appl. Mech. (in the press). D. 2002. Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape-memory cantilever.

### Configurational Mechanics: Proceedings of the Symposium on Configurational Mechanics, Thessaloniki, Greece, 17-22 August 2003 by Vassilios K. Kalpakides, Gerard A. Maugin

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