DEVELOPMENT AND CALIBRATION OF 3D CONSTITUTIVE EQUATIONS FOR NONLINEAR PASSIVE MULTI-AXIAL FINITE DEFORMATIONS OF SKELETAL MUSCLES

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SAADATMAND HASHEMI SANAZ; ASGARI MASOUD

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:9 Page(s): 298-306

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Title

DEVELOPMENT AND CALIBRATION OF 3D CONSTITUTIVE EQUATIONS FOR NONLINEAR PASSIVE MULTI-AXIAL FINITE DEFORMATIONS OF SKELETAL MUSCLES

Author(s)

SAADATMAND HASHEMI SANAZ | ASGARI MASOUD | Issue Writer Certificate

Keywords

3D CONSTITUTIVE MODELQ1

PASSIVE HYPERELASTIC BEHAVIORQ1

MULTI-AXIAL TESTQ1

SKELETAL MUSCLESQ1

Abstract

Skeletal muscle simulation remains a controversial topic as a result of its complex anatomical structure and mechanical characteristics such as nonlinear material properties and loading conditions. Most of the current models in the literature for describing the constitutive equations of SKELETAL MUSCLES are based on Hill's one-dimensional, three element model. In this paper, a 3D CONSTITUTIVE MODEL which is based on the hyper elastic behavior of skeletal muscle and energy function has been presented. By using the derivatives of such energy function for defining the Second Piola and Cauchy stresses, the model could describe the inactive behavior of skeleton muscles. The applied constitutive equations are an efficient generalization of Hamphury's model for the inactive behavior of skeletal muscle. In this paper by using a 3D model, different modes of deformations of skeletal muscle such as simple tension, biaxial and shear tests have been investigated and material properties constants for each mode of deformation has been optimized by Genetic Algorithm. Finally the results of the model simulations of each mode are compared with those obtained from experimental tests. Also, the model results are compared with the ones from two well- known hyper elastic Ogden and Mooney-Rivilin models in order to show the priority of the new developed 3D model.

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APA: Copy

SAADATMAND HASHEMI, SANAZ, & ASGARI, MASOUD. (2016). DEVELOPMENT AND CALIBRATION OF 3D CONSTITUTIVE EQUATIONS FOR NONLINEAR PASSIVE MULTI-AXIAL FINITE DEFORMATIONS OF SKELETAL MUSCLES. MODARES MECHANICAL ENGINEERING, 16(9), 298-306. SID. https://sid.ir/paper/179804/en

Vancouver: Copy

SAADATMAND HASHEMI SANAZ, ASGARI MASOUD. DEVELOPMENT AND CALIBRATION OF 3D CONSTITUTIVE EQUATIONS FOR NONLINEAR PASSIVE MULTI-AXIAL FINITE DEFORMATIONS OF SKELETAL MUSCLES. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(9):298-306. Available from: https://sid.ir/paper/179804/en

IEEE: Copy

SANAZ SAADATMAND HASHEMI, and MASOUD ASGARI, “DEVELOPMENT AND CALIBRATION OF 3D CONSTITUTIVE EQUATIONS FOR NONLINEAR PASSIVE MULTI-AXIAL FINITE DEFORMATIONS OF SKELETAL MUSCLES,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 9, pp. 298–306, 2016, [Online]. Available: https://sid.ir/paper/179804/en

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