A variational approach to porous elastic bodies

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 56, Issue 3, 2005, Pages 548-558

  Mosconi, Marco ^a  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

Multifield theories; Poroelasticity; Variational formulation

Indexed keywords

EID: 18744397612     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-004-3062-7     Document Type: Article

References (19)

1. M.A. Goodman, S.C. Cowin, A continuum theory of granular materials, Arch. Rat. Mech. Anal. 44 (1972), 249-266.
2. J.W. Nunziato, S.C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rat. Mech. Anal. 72 (1979), 175-201.
3. G. Capriz, P. Podio.Guidugli, Materials with spherical structure, Arch. Rat. Mech. Anal. 75 (1981), 269-279.
4. S.C. Cowin, J.W. Nunziato, Linear elastic materials with voids, J. Elasticity 13 (1983), 125-147.
5. G. Capriz, Continua with Microstructure, Springer-Verlag, Berlino 1989.
6. P.M. Mariano, Multifield Theories in Mechanics of Solids, Advances in Applied Mechanics 38, 2001.
7. P.M. Mariano, D. Bernardini, Flow rules for porous elastic plastic materials, Mech. Research Comm. 25 (1998), 443-448.
8. J.H. He, Modified Lagrange Multiplier Method and Generalized Variational Principle in Fluid Mechanics, J. Shanghai University 1 (1997), 117-122.
9. M. Mosconi, Mixed variational formulations for continua with microstructure, Int. J. Solids Structures 39 (2002), 4181-4195.
10. M. Mosconi, Some Applications of Multifield Theories with Vectorial Order Parameter to Solids Mechanics, Ph. D. Thesis, Bologna, 2002.
11. W.Z. Chien, Method of High-Order Lagrange Multiplier and Generalized Variational Principles of Elasticity with More General Forms of Functionals, Appl. Math. Mech. 4 (1983), 137-150.
12. J.J. Marigo, Modeling of Brittle and fatigue damage for elastic material by growth of microvoids, Engng Fracture Mech. 21 (1985), 861-874.
13. M. Frmond, B. Nedjar, Damage, gradient of damage and principle of virtual power, Int. J. Solids Structures 33 (1996), 1083-1103.
14. P.M. Mariano, G. Augusti, Multifield description of microcracked continua: a local model, Math. Mech. Solids 3 (1998), 183-200.
15. H. Stumpf, K. Hackl, Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi-brittle materials, Int. J. Solids Structures 40 (2003), 1567-1584.
16. J. Lemaitre, A Course on Damage Mechanics, II Edition, Springer-Verlag, Berlin, Heidelberg, 1996.
17. P.M. Mariano, G. Augusti, Basic topics on damage pseudo-potentials, Int. J. Solids Structures 38 (2001), 1963-1974.
18. P. Podio.Guidugli, A primer in elasticity, J. Elasticity 58 (2000), 1-104.
19. D.-H. Pi, L.-H. Jin, Structural function theory of generalized variational principles for linear elastic materials with voids, Applied Math. Mech. 12 (1991), 565-575.