On energetic changes due to configurational motion of standard continua

International Journal of Solids and Structures

Volumn 46, Issue 6, 2009, Pages 1464-1475

  Runesson, K ^a   Larsson, F ^a   Steinmann, P ^b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Configurational motion; Dissipation; Energetic change

Indexed keywords

ENERGY DISSIPATION;

BALANCE LAWS; CONFIGURATIONAL MOTION; DEFORMATIONAL CHANGES; DISSIPATION; ELASTIC ENERGIES; ENERGETIC CHANGE; GLOBAL MEASURES; ON DYNAMICS; PHYSICAL SYSTEMS; THERMO-MECHANICAL COUPLINGS;

THERMODYNAMICS;

EID: 59349107033     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.11.011     Document Type: Article

References (27)

1. Abeyaratne R., and Knowles J. On the driving traction acting on a surface of strain discontinuity in a continuum. J. Mech. Phys. Solids 38 (1990) 345-360
2. Eshelby J. The force on an elastic singularity. Phil. Trans. Roy. Soc. Lond. (1951) 87-112
3. Fagerström M., and Larsson R. Approaches to dynamic fracture modeling at finite deformation. J. Mech. Phys. Solids 56 (2008) 613-639
4. Guerses A., and Miehe C. A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment. Int. J. Numer. Methods Eng. 72 (2008) 127-155
5. Gurtin M. On the nature of configurational forces. Arch. Rational Mech. Anal. 131 (1995) 67-100
6. Gurtin M. Configurational Forces as Basic Concepts of Continuum Physics (2000), Springer, New York
7. Heintz P., Larsson F., Hansbo P., and Runesson K. Adaptive strategies and error control for computing material forces in fracture mechanics. Int. J. Numer. Methods Eng. 60 (2004) 1287-1299
8. Himpel G., Kuhl E., Menzel A., and Steinmann P. Computational modelling of isotropic multiplicative growth. Comp. Model. Eng. Sci. 8 (2005) 119-134
9. Kienzler R., and Herrmann G. Mechanics in Material Space (2000), Springer, Berlin
10. Li F., Shih C., and Needleman A. A comparison of methods for calculating energy release rates. Eng. Fract. Mech. 21 (1985) 405-421
11. Maugin G. Material Inhomogeneities in Elasticity (1993), Chapman & Hall, London
12. Maugin G. Material forces: concepts and applications. Appl. Mech. Rev. 48 (1995) 213-245
13. Maugin G. Thermomechanics of inhomogeneous-heterogeneous systems: application to the irreversible progress of two- and three-dimensional defects. ARI 50 (1997) 41-56
14. Maugin G. On shock waves and phase-transition fronts in continua. ARI 50 (1998) 141-150
15. Maugin G. Thermomechanics of forces driving singular pointsets. Arch. Mech. 50 (1998) 509-519
16. Maugin G. On the universality of the thermomechanics of forces driving singular sets. Arch. Mech. 69 (1999) 1-15
17. Maugin G., and Trimarco C. Pseudomomentum and material forces in nonlinear elasticity: variational formulations and application to brittle fracture. Arch. Mech. 94 (1992) 1-28
18. Maugin G., and Trimarco C. The dynamics of configurational forces at phase-transition fronts. Meccanica 30 (1995) 605-619
19. Menzel A., Denzer R., and Steinmann P. On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal plasticity. Comput. Meth. Appl. Mech. Eng. 193 (2004) 5411-5428
20. Noether E. Invariante variationsprobleme. Nachr. Konig. Gesell. Wissen. Gottingen, Math. Phys. Kl. (1918) 234-257
21. Simha N., and Bhattacharya K. Kinetics of phase boundaries with edges and junctions. J. Mech. Phys. Solids 46 (1998) 2323-2359
22. Simha N., and Bhattacharya K. Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body. J. Mech. Phys. Solids 48 (2000) 2619-2641
23. Steinmann P. Application of material forces to hyperelastostaic fracture mechanics. I. Continuum mechanical setting. Int. J. Solids Struct. 37 (2000) 7371-7391
24. Steinmann P. On spatial and material settings of hyperelastostatic crystal defects. J. Mech. Phys. Solids 50 (2002) 1743-1766
25. Steinmann P. On spatial and material settings of thermo-hyperelastodynamics. J. Elasticity 66 (2002) 109-157
26. Steinmann P. On boundary potential energies in deformational and configurational mechanics. J. Mech. Phys. Solids 56 (2008) 772-800
27. Steinmann P., Ackermann D., and Barth F. Application of material forces to hyperelastostaic fracture mechanics. II. Computational setting. Int. J. Solids Struct. 38 (2001) 5509-5526