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Journal of Applied Sciences
  Year: 2005 | Volume: 5 | Issue: 9 | Page No.: 1617-1631
DOI: 10.3923/jas.2005.1617.1631
 
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A Mathematical Model for Fiber Reinforced Hyperelastic Material and Results with Finite Element Method

Mustafa Resit Usal, Melek Usal and Ahmet Kabul

Abstract:
In this research, constitutive equation has been obtained that characterizes nonlinear mechanical behaviour of fiber reinforced hyperelastic material, whose matrix material is an isotropic. Searching for axioms of the constitutive theory, especially objectivity and material symmetry axioms and constitutive functional, based on concepts related with the symmetry group of a material, findings pertaining to the theory of invariants have been used as a routine method for material determination of stress potential arguments. As a result, constitutive equation pertaining to the stress has been obtained in both material and spatial coordinates. The constitutive equation obtained can predict the mechanical behaviour of fiber reinforced rubber like materials. As an application, a Money-Rivlin type hyperelastic material has been examined under a suitable geometry and load conditions using ANSYS finite elements software. The hyperelastic material was then reinforced using steel fibers in axial directions and resolved. Finally, a solution was made for A 36 steel materials under same geometry and load conditions, after which the results were compared.
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How to cite this article:

Mustafa Resit Usal, Melek Usal and Ahmet Kabul , 2005. A Mathematical Model for Fiber Reinforced Hyperelastic Material and Results with Finite Element Method. Journal of Applied Sciences, 5: 1617-1631.

DOI: 10.3923/jas.2005.1617.1631

URL: https://scialert.net/abstract/?doi=jas.2005.1617.1631

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