Weak, anisotropic symmetric formulations of Biot's equations for vibro-acoustic modelling of porous elastic materials

2010 ◽  
Vol 84 (12) ◽  
pp. 1519-1540 ◽  
Author(s):  
Nils-Erik Hörlin ◽  
Peter Göransson
Keyword(s):  
Elastic Materials ◽  
Acoustic Modelling ◽  
Biot’S Equations

Mechanical power and hyperelasticity

2017 ◽  
Author(s):  
David J. Steigmann
Keyword(s):  
Energy Function ◽  
Strain Energy ◽  
Strain Energy Function ◽  
Mechanical Power ◽  
Elastic Materials ◽  
Cyclic Motion

This chapter covers the notion of hyperelasticity—the concept that stress is derived from a strain—energy function–by invoking an analogy between elastic materials and springs. Alternatively, it can be derived by invoking a work inequality; the notion that work is required to effect a cyclic motion of the material.

scholarly journals A homogenization method for nonlinear inhomogeneous elastic materials

2021 ◽  
Vol 3 (2) ◽  
pp. 156-170
Author(s):  
Jing Zhao ◽  
Fei Zhu ◽  
Liyou Xu ◽  
Yong Tang ◽  
Sheng Li
Keyword(s):  
Homogenization Method ◽  
Elastic Materials
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