Premium
A note on anisotropic, inhomogeneous, poro‐elastic media
Author(s) -
McGhee Des F.,
Picard Rainer
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1171
Subject(s) - biot number , mathematics , anisotropy , class (philosophy) , calculus (dental) , transmission (telecommunications) , mathematical analysis , pure mathematics , epistemology , mechanics , computer science , telecommunications , physics , philosophy , medicine , dentistry , quantum mechanics
A modification of the material law associated with the well‐known Biot system as suggested by Murad and Cushman ( Int. J. Eng. Sci . 1996; 34(3):313–338) and first investigated by Showalter ( J. Math. Anal. Appl. 2000; 251(1):310–340) is reconsidered, generalized and analysed in the light of a new approach to a comprehensive class of evolutionary problems. The framework allows a uniform approach to problems involving general anisotropic, inhomogeneous, non‐smooth media thus covering, for example, transmission problems in layered materials. Copyright © 2009 John Wiley & Sons, Ltd.