2020-04-07T23:11:48Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:35940
2019-06-10T06:57:46Z
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A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials
Waffenschmidt, Tobias
Polindara López, Cesar Andrés
Menzel, A.
Blanco Ibáñez, Sergio
Civil Engineering and Construction
Mechanics
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
E.T.S.I. Caminos, Canales y Puertos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2014-01-01
info:eu-repo/semantics/article
Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2014-01-01, Vol. 268
PeerReviewed
application/pdf
eng
http://www.sciencedirect.com/science/article/pii/S004578251300265X
DPI-2008-03130/DPI
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2013.10.013
http://oa.upm.es/35940/