Solution of Nonlinear Compressible Hyperelastic Problems by Isogeometric Analysis Method

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Ardiani m.; HASSANI B.; TAVAKOLI M.

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Paper Information

Journal: Journal of Applied and Computational Sciences in Mechanics Year:2019 | Volume:30 | Issue:2 (20) Page(s): 67-82

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Title

Solution of Nonlinear Compressible Hyperelastic Problems by Isogeometric Analysis Method

Author(s)

Ardiani m. | HASSANI B. | TAVAKOLI M. | Issue Writer Certificate

Keywords

Isogeometric analysisQ2

NURBSQ1

HyperelasticityQ1

Compressible materialsQ1

Abstract

Employing the Isogeometric analysis method for solution of nonlinear compressible elastic materials, generally known as Hyperelasticity, is the subject of this article. For this purpose, the matrix of coefficients is derived and by the linearization of governing equations the discretized equilibrium equations are obtained and a solution algorithm is presented. To study the performance and accuracy of the method in compressible hyperelastic problems, the obtained results are compared with those of finite elements. The presented approach, besides providing a good flexibility in geometrical modeling, results in a smaller system of equations and consequently reducing the computational cost. Furthermore, despite having large deformations, the need for remeshings is alleviated. Also, the effects of the number of load increments, as well as, the number of Gauss integration points on the convergence of the solution are studied.

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APA: Copy

Ardiani, m., HASSANI, B., & TAVAKOLI, M.. (2019). Solution of Nonlinear Compressible Hyperelastic Problems by Isogeometric Analysis Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 30(2 (20) ), 67-82. SID. https://sid.ir/paper/196235/en

Vancouver: Copy

Ardiani m., HASSANI B., TAVAKOLI M.. Solution of Nonlinear Compressible Hyperelastic Problems by Isogeometric Analysis Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2019;30(2 (20) ):67-82. Available from: https://sid.ir/paper/196235/en

IEEE: Copy

m. Ardiani, B. HASSANI, and M. TAVAKOLI, “Solution of Nonlinear Compressible Hyperelastic Problems by Isogeometric Analysis Method,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 30, no. 2 (20) , pp. 67–82, 2019, [Online]. Available: https://sid.ir/paper/196235/en

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