Meshless Radial Point Interpolation Method for Hyperelastic Materials

8 pages•Published: May 14, 2020

Trong Khiem Bui, Vu Tuong Nguyen, Thanh Nha Nguyen and Tich Thien Truong

Abstract

Hyperelastic materials are special types of material that tends to behavior elastically when they are subjected to very large strains. These materials show not only the nonlinear material behavior but also the large deformation and stress-strain relationship is derived from a strain energy density function. Hyperelastic materials are widely used in many applications such as biological tissues, polymeric foams, and moreover. Neo - Hookean is a material model for hyperelastic solid which contains only two material parameters: bulk modulus and shear modulus. In the field of numerical analysis, the radial point interpolation method (RPIM) is a well-known meshfree method based on Garlekin's weak form. With the property of “free of mesh”, the RPIM approach shows its advantage for large deformation problems. In this study, a meshless radial point interpolation method is applied to demonstrate the elastic response of rubber-like materials based on the Mooney- Rivlin model. The obtained results are compared with the reference solutions given by other methods to verify the accuracy of the proposed method.

Keyphrases: hyperelasticity, meshless method, mooney rivlin model, neo hookean model, rpim

In: Tich Thien Truong, Trung Nghia Tran, Quoc Khai Le and Thanh Nha Nguyen (editors). Proceedings of International Symposium on Applied Science 2019, vol 3, pages 223-230.

Links:	https://easychair.org/publications/paper/S3ZF
	https://doi.org/10.29007/r7sp

BibTeX entry

@inproceedings{ISAS2019:Meshless_Radial_Point_Interpolation,
  author    = {Trong Khiem Bui and Vu Tuong Nguyen and Thanh Nha Nguyen and Tich Thien Truong},
  title     = {Meshless Radial Point Interpolation Method for Hyperelastic Materials},
  booktitle = {Proceedings of International Symposium on Applied Science 2019},
  editor    = {Tich Thien Truong and Trung Nghia Tran and Quoc Khai Le and Thanh Nha Nguyen},
  series    = {Kalpa Publications in Engineering},
  volume    = {3},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2515-1770},
  url       = {/publications/paper/S3ZF},
  doi       = {10.29007/r7sp},
  pages     = {223-230},
  year      = {2020}}

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