<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This text describes a mathematical model of a strut finite element for isotropic incompressible hyperelastic materials. The invariants of the Right Cauchy-Green deformation tensor are written in terms of nodal displacements. The equilibrium problem is formulated as an unconstrained nonlinear programming problem, where the objective function is the total potential energy of the structure and the nodal displacements are the unknowns. The constraint for incompressibility is satisfied exactly, thereby eliminating the need for a penalty function. The results of the examples calculated by the proposed mathematical model show five significant digits in agreement when compared with commercial finite element analysis software.</p></abstract>

This text describes a mathematical model of a strut finite element for isotropic incompressible hyperelastic materials. The invariants of the Right Cauchy-Green deformation tensor are written in terms of nodal displacements. The equilibrium problem is formulated as an unconstrained nonlinear programming problem, where the objective function is the total potential energy of the structure and the nodal displacements are the unknowns. The constraint for incompressibility is satisfied exactly, thereby eliminating the need for a penalty function. The results of the examples calculated by the proposed mathematical model show five significant digits in agreement when compared with commercial finite element analysis software.

A Strut Finite Element for Exact Incompressible Isotropic Hyperelastic Analysis

Slovak Journal of Civil Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Strut Finite Element for Exact Incompressible Isotropic Hyperelastic Analysis"}

This text describes a mathematical model of a strut finite element for isotropic incompressible hyperelastic materials. The invariants of the Right...

A Strut Finite Element for Exact Incompressible Isotropic Hyperelastic Analysis

Published Online: Mar 28, 2018

Page range: 1 - 9

DOI: https://doi.org/10.2478/sjce-2018-0001

Keywords
Hyperelasticity, Incompressibility, Minimization, Nonlinear, Finite element.

© Faculty of Civil Engineering, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Strut Finite Element for Exact Incompressible Isotropic Hyperelastic Analysis

Published Online: Mar 28, 2018

Page range: 1 - 9

DOI: https://doi.org/10.2478/sjce-2018-0001

KeywordsHyperelasticity, Incompressibility, Minimization, Nonlinear, Finite element.

© Faculty of Civil Engineering, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hyperelasticity, Incompressibility, Minimization, Nonlinear, Finite element.