Projects per year
Abstract
Elasticity tensors for isotropic hyperelasticity in principal stretches are formulated and implemented for the Finite Element Method. Hyperelastic constitutive models defined by this strain measure are known to accurately model the response of rubber, and similar materials. These models may not be available in the library of a Finite Element Analysis software, but a numerical implementation of the constitutive model may be provided by a programmed subroutine. The implementation proposed here is robust and accurate, with straightforward user input. It is presented in multiple configurations with novel features, including efficient definition of isochoric stress and elasticity coefficients, symmetric dyadic products of the principal directions, and development of a stable and accurate algorithm for equal and similar principal stretches. The proposed implementation is validated, for unique, equal and similar principal stretches. Further validation in the Finite Element Method demonstrates the developed implementation requires lower computational effort compared with an alternative, well-known implementation.
Original language | English |
---|---|
Pages (from-to) | 1273-1288 |
Number of pages | 16 |
Journal | Computational Mechanics |
Volume | 64 |
Issue number | 5 |
Early online date | 3 May 2019 |
DOIs | |
Publication status | Published - 30 Nov 2019 |
Keywords
- hyperelasticity
- principal stretches
- finite element method
- numerical implementation
- elasticity tensors
Fingerprint
Dive into the research topics of 'Isotropic hyperelasticity in principal stretches: explicit elasticity tensors and numerical implementation'. Together they form a unique fingerprint.Profiles
Projects
- 1 Finished
-
Doctoral Training Partnership (DTP 2016-2017 University of Strathclyde)
Kerr, W. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/10/16 → 30/09/21
Project: Research - Studentship
Datasets
-
Data for: "Isotropic hyperelasticity in principal stretches: Fortran programs and subroutines"
Connolly, S. J. (Creator), University of Strathclyde, 26 Apr 2019
DOI: 10.15129/b1cc7acc-a170-479e-8b26-b74395352b26
Dataset
-
Data for: "Numerical modelling of rubber hyperelasticity: parameter identification and finite element implementations"
Connolly, S. J. (Creator), MacKenzie, D. (Supervisor) & Gorash, Y. (Supervisor), University of Strathclyde, 24 Jun 2020
DOI: 10.15129/006b5a11-c4f9-4e30-aea5-d722d072b3a5
Dataset