MODELING OF HYPERELASTIC BEHAVIOR OF FUNCTIONALLY GRADED RUBBER UNDER MECHANICAL AND THERMAL LOAD

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ANANI YAVAR; RAHIMI GHOLAM HOSSEIN

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Journal: Modares Mechanical Engineering Year:2016 | Volume:15 | Issue:11 Page(s): 359-367

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Title

MODELING OF HYPERELASTIC BEHAVIOR OF FUNCTIONALLY GRADED RUBBER UNDER MECHANICAL AND THERMAL LOAD

Author(s)

ANANI YAVAR | RAHIMI GHOLAM HOSSEIN | Issue Writer Certificate

Keywords

HYPERELASTIC MATERIALQ2

FINITE DEFORMATIONQ2

RUBBERQ3

FUNCTIONALLY GRADED MATERIALSQ2

TRANSVERSELY ISOTROPICQ2

Abstract

In this paper, behavior of functionally graded RUBBERs with large deformation has been modeled under different loading conditions. RUBBERs have been assumed incompressible HYPERELASTIC MATERIAL. In the first section of this paper, behavior of isotropic FG RUBBER has been investigated in uniaxial extension, equibiaxial extension and pure shear. In the second section, behavior of isotropic FG RUBBER is investigated in mechanical and thermal loads, simultaneously. For this purpose, multiplicative decomposition of deformation gradient tensor has been used. At last, behavior of TRANSVERSELY ISOTROPIC FG RUBBER has been investigated in uniaxial extension, equibiaxial extension and pure shear. Material properties vary continuously in different specific direction in FG HYPERELASTIC MATERIALs. For modeling nonlinear behavior of HYPERELASTIC MATERIALs, strain energy functions are used. Strain energy functions are function of invariants of left Cauchy-Green stretch tensor. Modification in strain energy functions is required in order to for them to be used as FG RUBBERs. For this purpose, material constants of strain energy functions have been assumed to vary exponentially in the axial direction of bar. Moreover, stretches in different points of the bar are considered to be function of material properties variation in the length direction. Analytical solution has been compared with experimental data and good agreement has been found between them, therefore the proposed constitutive law has modeled material behavior with a proper approximation.

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APA: Copy

ANANI, YAVAR, & RAHIMI, GHOLAM HOSSEIN. (2016). MODELING OF HYPERELASTIC BEHAVIOR OF FUNCTIONALLY GRADED RUBBER UNDER MECHANICAL AND THERMAL LOAD. MODARES MECHANICAL ENGINEERING, 15(11), 359-367. SID. https://sid.ir/paper/177767/en

Vancouver: Copy

ANANI YAVAR, RAHIMI GHOLAM HOSSEIN. MODELING OF HYPERELASTIC BEHAVIOR OF FUNCTIONALLY GRADED RUBBER UNDER MECHANICAL AND THERMAL LOAD. MODARES MECHANICAL ENGINEERING[Internet]. 2016;15(11):359-367. Available from: https://sid.ir/paper/177767/en

IEEE: Copy

YAVAR ANANI, and GHOLAM HOSSEIN RAHIMI, “MODELING OF HYPERELASTIC BEHAVIOR OF FUNCTIONALLY GRADED RUBBER UNDER MECHANICAL AND THERMAL LOAD,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 11, pp. 359–367, 2016, [Online]. Available: https://sid.ir/paper/177767/en

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