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Mechanics of Advanced Materials and Structures Volume 25, 2018 - Issue 11
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Original Articles

Hyperelastic analysis based on a polygonal finite element method

Amirtham RajagopalDepartment of Civil Engineering, Indian Institute of Technology Hyderabad, Hyderabad, IndiaCorrespondence[email protected]
,
Markus KrausStrength and Durability Group, Ingolstadt, Germany
&
Paul SteinmannApplied Mechanics, University of Erlangen, Nuremberg, Germany
Pages 930-942 | Received 09 May 2016, Accepted 25 Mar 2017, Published online: 26 Jul 2017

Citations (15)

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Chennakesava Kadapa & Mokarram Hossain. (2022) A linearized consistent mixed displacement-pressure formulation for hyperelasticity. Mechanics of Advanced Materials and Structures 29:2, pages 267-284.
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Kaixuan Liang, Panxu Sun & Dongwei Wang. Deformation decomposition method of discrete element for irregular structures. Mechanics of Advanced Materials and Structures 0:0, pages 1-13.
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Articles from other publishers (13)

Di Liu, Chao Chen & Teng Zhang. (2021) Image-Based Polygonal Lattices for Mechanical Modeling of Biological Materials: 2D Demonstrations. ACS Biomaterials Science & Engineering 9:7, pages 3953-3961.
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D. Pranavi, P. Steinmann & A. Rajagopal. (2023) A unifying finite strain modeling framework for anisotropic mixed-mode fracture in soft materials. Computational Mechanics.
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Fan Peng, Haokun Liu, She Li & Xiangyang Cui. (2022) Quadtree-polygonal smoothed finite element method for adaptive brittle fracture problems. Engineering Analysis with Boundary Elements 134, pages 491-509.
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Sathish Kumar R & Jayabal K. (2021) A rate-dependent constitutive model incorporated in two-dimensional PolyFEM for Galfenol sensors. Modelling and Simulation in Materials Science and Engineering 29:6, pages 065011.
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Arthesh Basak, Amirtham Rajagopal, Umesh Basappa & Mokarram Hossain. (2021) The Use of Contravariant Tensors to Model Anisotropic Soft Tissues. International Journal of Applied Mechanics 13:03, pages 2150039.
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M. Surendran, Changkye Lee, H. Nguyen-Xuan, G.R. Liu & Sundararajan Natarajan. (2021) Cell-based smoothed finite element method for modelling interfacial cracks with non-matching grids. Engineering Fracture Mechanics 242, pages 107476.
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Márton Petö, Fabian Duvigneau, Daniel Juhre & Sascha Eisenträger. (2020) Enhanced numerical integration scheme based on image compression techniques: Application to rational polygonal interpolants. Archive of Applied Mechanics 91:2, pages 753-775.
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Zhi Li, Song Cen, Junbin Huang & Chen‐Feng Li. (2020) Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity. International Journal for Numerical Methods in Engineering 121:16, pages 3702-3721.
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Mahmood Jabareen. (2020) A polygonal finite element formulation for modeling nearly incompressible materials. Meccanica 55:4, pages 701-723.
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P. Aurojyoti, P. Raghu, A. Rajagopal & J. N. Reddy. (2019) An n ‐sided polygonal finite element for nonlocal nonlinear analysis of plates and laminates . International Journal for Numerical Methods in Engineering 120:9, pages 1071-1107.
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M.L. De Bellis, P. Wriggers & B. Hudobivnik. (2019) Serendipity virtual element formulation for nonlinear elasticity. Computers & Structures 223, pages 106094.
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H. Nguyen-Xuan, Khanh N. Chau & Khai N. Chau. (2019) Polytopal composite finite elements. Computer Methods in Applied Mechanics and Engineering 355, pages 405-437.
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R. Sathish Kumar & K. Jayabal. (2019) Micromechanically motivated constitutive model embedded in two-dimensional polygonal finite element framework for magnetostrictive actuators. Journal of Applied Physics 125:19.
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