A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials
(2014) In Computer Methods in Applied Mechanics and Engineering 268. p.801-842- Abstract
- A non-local gradient-based damage formulation within a geometrically non-linear setting is presented. The hyperelastic constitutive response at local material point level is governed by a strain energy which is additively composed of an isotropic matrix and of an anisotropic fibre-reinforced material, respectively. The inelastic constitutive response is governed by a scalar [1–d]-type damage formulation, where only the anisotropic elastic part is assumed to be affected by the damage. Following the concept in Dimitrijević and Hackl [28], the local free energy function is enhanced by a gradient-term. This term essentially contains the gradient of the non-local damage variable which, itself, is introduced as an additional independent... (More)
- A non-local gradient-based damage formulation within a geometrically non-linear setting is presented. The hyperelastic constitutive response at local material point level is governed by a strain energy which is additively composed of an isotropic matrix and of an anisotropic fibre-reinforced material, respectively. The inelastic constitutive response is governed by a scalar [1–d]-type damage formulation, where only the anisotropic elastic part is assumed to be affected by the damage. Following the concept in Dimitrijević and Hackl [28], the local free energy function is enhanced by a gradient-term. This term essentially contains the gradient of the non-local damage variable which, itself, is introduced as an additional independent variable. In order to guarantee the equivalence between the local and non-local damage variable, a penalisation term is incorporated within the free energy function. Based on the principle of minimum total potential energy, a coupled system of Euler–Lagrange equations, i.e., the balance of linear momentum and the balance of the non-local damage field, is obtained and solved in weak form. The resulting coupled, highly non-linear system of equations is symmetric and can conveniently be solved by a standard incremental-iterative Newton–Raphson-type solution scheme. Several three-dimensional displacement- and force-driven boundary value problems—partially motivated by biomechanical application—highlight the mesh-objective characteristics and constitutive properties of the model and illustratively underline the capabilities of the formulation proposed. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4248150
- author
- Tobias, Waffenschmidt ; Cesar, Polindara ; Menzel, Andreas LU and Sergio, Blanco
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 268
- pages
- 801 - 842
- publisher
- Elsevier
- external identifiers
-
- wos:000331348000039
- scopus:84888841493
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2013.10.013
- language
- English
- LU publication?
- yes
- id
- 21985b48-8478-44e8-9954-1c2aa7f95042 (old id 4248150)
- date added to LUP
- 2016-04-01 13:10:49
- date last changed
- 2022-03-21 17:06:14
@article{21985b48-8478-44e8-9954-1c2aa7f95042,
abstract = {{A non-local gradient-based damage formulation within a geometrically non-linear setting is presented. The hyperelastic constitutive response at local material point level is governed by a strain energy which is additively composed of an isotropic matrix and of an anisotropic fibre-reinforced material, respectively. The inelastic constitutive response is governed by a scalar [1–d]-type damage formulation, where only the anisotropic elastic part is assumed to be affected by the damage. Following the concept in Dimitrijević and Hackl [28], the local free energy function is enhanced by a gradient-term. This term essentially contains the gradient of the non-local damage variable which, itself, is introduced as an additional independent variable. In order to guarantee the equivalence between the local and non-local damage variable, a penalisation term is incorporated within the free energy function. Based on the principle of minimum total potential energy, a coupled system of Euler–Lagrange equations, i.e., the balance of linear momentum and the balance of the non-local damage field, is obtained and solved in weak form. The resulting coupled, highly non-linear system of equations is symmetric and can conveniently be solved by a standard incremental-iterative Newton–Raphson-type solution scheme. Several three-dimensional displacement- and force-driven boundary value problems—partially motivated by biomechanical application—highlight the mesh-objective characteristics and constitutive properties of the model and illustratively underline the capabilities of the formulation proposed.}},
author = {{Tobias, Waffenschmidt and Cesar, Polindara and Menzel, Andreas and Sergio, Blanco}},
issn = {{0045-7825}},
language = {{eng}},
pages = {{801--842}},
publisher = {{Elsevier}},
series = {{Computer Methods in Applied Mechanics and Engineering}},
title = {{A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials}},
url = {{http://dx.doi.org/10.1016/j.cma.2013.10.013}},
doi = {{10.1016/j.cma.2013.10.013}},
volume = {{268}},
year = {{2014}},
}