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On the Application of CISAMR for Modeling Hyperelastic Materials Undergoing Finite Deformation

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2018, Master of Science, Ohio State University, Mechanical Engineering.
Finite strain problems undergoing large deformations typically require mesh updates to maintain acceptable elements quality. Remeshing on the whole domain is an updating method suitable for anomalously large deformations, the efficiency of which relies on the rapid regeneration of the conforming mesh and element aspect ratios. The Conforming to Interface Structured Adaptive Mesh Re nement (CISAMR) algorithm is a new non-iterative method for constructing conforming meshes for problems with complex geometries, which can highly facilitate the remeshing process for large deformation problems. In this thesis, we implement the CISAMR algorithm for the finite element (FE) analysis of hyperelastic problems undergoing excessively large deformations. Automated remeshing scheme is developed to recursively reconstruct CISAMR mesh on the deformed domain. Convergence and error studies are performed to verify the accuracy of this remeshing algorithm and demonstrate its effect on the stability of simulations. Additional large-scale numerical examples are presented to demonstrate the robustness of CISAMR for large deformation problems in hyperelastic materials with complex microstructures.
Soheil Soghrati (Advisor)
Rebecca Dupaix (Committee Member)
60 p.

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Citations

  • Luo, K. (2018). On the Application of CISAMR for Modeling Hyperelastic Materials Undergoing Finite Deformation [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1525442256935631

    APA Style (7th edition)

  • Luo, Ke. On the Application of CISAMR for Modeling Hyperelastic Materials Undergoing Finite Deformation. 2018. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1525442256935631.

    MLA Style (8th edition)

  • Luo, Ke. "On the Application of CISAMR for Modeling Hyperelastic Materials Undergoing Finite Deformation." Master's thesis, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1525442256935631

    Chicago Manual of Style (17th edition)