A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials

Waffenschmidt Tobias, Polindara Cesar, Andreas Menzel, Blanco Sergio

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

70 Citeringar (SciVal)

Sammanfattning

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.
Originalspråkengelska
Sidor (från-till)801-842
TidskriftComputer Methods in Applied Mechanics and Engineering
Volym268
DOI
StatusPublished - 2014

Ämnesklassifikation (UKÄ)

  • Maskinteknik

Fingeravtryck

Utforska forskningsämnen för ”A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials”. Tillsammans bildar de ett unikt fingeravtryck.

Citera det här