Vol. 8, No. 5-7, 2013

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On acoustoelasticity and the elastic constants of soft biological tissues

Pham Chi Vinh and Jose Merodio

Vol. 8 (2013), No. 5-7, 359–367

We analyze the acoustoelastic study of material moduli that appear in the constitutive relations that characterize the response of anisotropic nonlinearly elastic bodies, in particular, materials reinforced with one set of fibers along one direction. Studies dealing with acoustoelastic coefficients in incompressible solids modeled by means of strain-energy density functions expanded up to different orders in terms of the Green strain tensor can be found in the literature. In this paper, we connect that analysis and the parallel one developed from the general theory of nonlinear elasticity which is based on strain energies that depend on the right Cauchy–Green deformation tensor. Establishing this relation explicitly will improve understanding of the mechanical properties of soft biological tissues among other materials.

incompressible transversely isotropic elastic solids, soft biological tissue, wave velocity, elastic constants
Received: 1 March 2013
Revised: 2 April 2013
Accepted: 10 April 2013
Published: 18 November 2013
Pham Chi Vinh
Faculty of Mathematics, Mechanics and Informatics
Hanoi University of Science
334, Nguyen Trai Str., Thanh Xuan
Hanoi 1000
Jose Merodio
Department of Continuum Mechanics and Structures
E.T.S. Ingeniería de Caminos, Canales e Puertos
Universidad Politecnica de Madrid
28040 Madrid