A minimum principle in the dynamics of elastic materials with voids
Michele Ciarletta; Edoardo Scarpetta
- Volume: 83, Issue: 1, page 187-193
- ISSN: 1120-6330
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topCiarletta, Michele, and Scarpetta, Edoardo. "A minimum principle in the dynamics of elastic materials with voids." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 187-193. <http://eudml.org/doc/287429>.
@article{Ciarletta1989,
abstract = {In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.},
author = {Ciarletta, Michele, Scarpetta, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Variational; Minimum; Principle; small distributed voids; porous solids; nonhomogeneous initial conditions; surface stress boundary conditions of dissipative type; linear, dynamic problem; Initial-boundary conditions},
language = {eng},
month = {12},
number = {1},
pages = {187-193},
publisher = {Accademia Nazionale dei Lincei},
title = {A minimum principle in the dynamics of elastic materials with voids},
url = {http://eudml.org/doc/287429},
volume = {83},
year = {1989},
}
TY - JOUR
AU - Ciarletta, Michele
AU - Scarpetta, Edoardo
TI - A minimum principle in the dynamics of elastic materials with voids
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 187
EP - 193
AB - In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.
LA - eng
KW - Variational; Minimum; Principle; small distributed voids; porous solids; nonhomogeneous initial conditions; surface stress boundary conditions of dissipative type; linear, dynamic problem; Initial-boundary conditions
UR - http://eudml.org/doc/287429
ER -
References
top- NUNZIATO, J.W. and COWIN, S.C., 1979. A non-linear theory of elastic materials with voids. Arch. Rat. Mech. Anal., 72: 175. Zbl0444.73018MR545517DOI10.1007/BF00249363
- COWIN, S.C. and NUNZIATO, J.W., 1983. Linear elastic materials with voids. Journal of Elasticity, 13: 125. Zbl0523.73008
- JARIC, J. and GOLUBOVIC, Z., 1979. Theory of thermoelasticity of granular materials. Rev. Roum. Sci. Techn. Mec. Appl., 24: 793. Zbl0425.73015
- JARIC, J. and RANKOVTC, S., 1980. Acceleration waves in granular materials. Mehanika, 6: 66. Zbl0479.73022
- JESAN, D., 1986. A theory of thermoelastic materials with voids. Acta Mechanica, 60: 67. Zbl0597.73007
- GOODMAN, M.A. and COWIN, S.C., 1972. A continuum theory for granular materials. Arch. Rat. Mech. Anal., 44: 249. Zbl0243.76005MR1553563DOI10.1007/BF00284326
- JESAN, D., 1985. Some results in the theory of elastic materials with voids. Journal of Elasticity, 15: 215. Zbl0573.73006
- REISS, R., 1978. Minimum principle for linear elastodynamics. Journal of Elasticity, 8: 35. Zbl0376.73016MR468500
- BENTHIEN, G. and GURTIN, M.E., 1970. A principle of minimum transformed energy in linear elastodynamics. J. Appl. Mech., 37: 1147. Zbl0208.27001MR280052
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