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On acoustoelasticity
and the elastic constants of soft biological tissues
Pham Chi Vinh and Jose Merodio |
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Vol. 8 (2013), No. 5-7, 359–367
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Abstract |
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. |
Keywords
incompressible transversely isotropic elastic solids, soft
biological tissue, wave velocity, elastic constants
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Milestones
Received: 1 March 2013
Revised: 2 April 2013
Accepted: 10 April 2013
Published: 18 November 2013
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Authors |
| Pham Chi Vinh | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science 334, Nguyen Trai Str., Thanh Xuan Hanoi 1000 Vietnam |
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| Jose Merodio | |
| Department of Continuum Mechanics
and Structures E.T.S. Ingeniería de Caminos, Canales e Puertos Universidad Politecnica de Madrid 28040 Madrid Spain |
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