caa a22 4500 606166718 CHVBK 20210128100659.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10665-014-9750-1 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9750-1 Stability of active muscle tissue [Elektronische Daten] [C. Paetsch, L. Dorfmann] The notion of material stability is examined in the context of active muscle tissue modeling, where the nonlinear constitutive law is dependent both on the physiologically driven muscle contraction and finite mechanical deformation. First, the governing equations and constitutive laws for a general active-elastic material with a single preferred direction are linearized about a homogeneous underlying configuration with respect to both the active contraction and deformation gradient. In order to obtain mathematical restrictions analogous to those found in elastic materials, stability conditions are derived based on the propagation of homogeneous plane waves with real wave speeds, and the generalized acoustic tensor is obtained. Focusing on 2D motions, and considering a simplified, decoupled transversely isotropic energy function, the restriction on the active acoustic tensor is recast in terms of a generally applicable constitutive law, with specific attention paid to the fiber contribution. The implication of the material stability conditions on material parameters, active contraction, and elastic stretch is investigated for prototype material models of muscle tissue. Springer Science+Business Media Dordrecht, 2014 Active strain nationallicence Finite deformation nationallicence Muscle tissue nationallicence Plane waves nationallicence Stability nationallicence Paetsch C. Bose Corporation, 01701, Framingham, MA, USA aut Dorfmann L. Department of Civil Engineering, Tufts University, 02155, Medford, MA, USA aut Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 193-216 0022-0833 95:1<193 2015 95 10665 https://doi.org/10.1007/s10665-014-9750-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9750-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Paetsch C. Bose Corporation, 01701, Framingham, MA, USA aut NATIONALLICENCE 700 1- Dorfmann L. Department of Civil Engineering, Tufts University, 02155, Medford, MA, USA aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 193-216 0022-0833 95:1<193 2015 95 10665