Multiscale damage modelling of 3D weave composite by asymptotic homogenisation

Micro-mechanics based damage mechanics for 3D orthogonal woven composites: Experiment and numerical modelling

“…8b) with approximate dimensions of 5 x 5 mm. The periodicity of the weaving pattern makes it useful for the modelling and simulation to be verified against the DIC strain contours in case the asymptotic expansion homogenisation "periodical homogenisation" is implemented [4,5,22,23].…”

“…In this approach, damage is depicted by internal damage variable which has a continuous range from undamaged material (d=0) to a completely damaged material (d=1). The evolution constitutive relation requires experimental results to calibrate the damage evolution as function of the damage driving force [5]. Thus, all the previously listed models use approaches in which the evolution laws are obtained by retrofitting global experimental observations.…”

“…In the model developed by Visrolia [5], the asymptotic expansion homogenisation is used to correlate the micro-scale stresses to the macro-scale stresses through the determination of the characteristic displacements for the unit cell. Then, stresses in the yarns and matrix are used to determine the damage state and the localised stiffness degradation if damage occurs.…”

Characterising the loading direction sensitivity of 3D woven composites: Effect of z-binder architecture

“…Much work has been done to characterise the failure mechanisms of 3D woven composites under tension [6,[11][12][13][14][15][16][17][18][19][20][21][22] along the warp-or weft-directions. Gerlach et al [6] who investigated angle interlock 3D woven composites subjected to tension (warp, weft) showed that the effect of z-binder volume fraction on the in-plane properties is minor.…”

Multiscale finite element analysis of mode I delamination growth in a fabric composite

“…The majority of the multiscale FE analyses, even analyses including meso-scale, in the literature, are based on the continuum damage mechanics in which the failure is decomposed into matrix and fibre failure [10]. For example, Visrolia and Meo [11] proposed a FE model using the asymptotic homogenisation method to distribute macro-scale stresses to the micro-scale, i.e., yarns and matrix, in a repeating unit cell model. The stresses in the yarns and matrix are then used in a continuum damage model to determine localised stiffness degradation.…”