Failure envelopes for laminated composites by the parametric HFGMC micromechanical framework

Micromechanical Damage Modeling of Long Fiber Reinforced Composites With the Parametric Method of Cells

“…subcell Ω pγq σ σ σ pγq " C pγq ε ε ε pγq subcell Ω pαq σ σ σ pαq " C pαq ε ε ε pαq zero-thickness interface S pkq s t pkq " p1´D pkq qΩ Ω Ω HOOKE's generalized model for each subcell Ω pβq of the discretized repeating unit cell (RUC) to represent volumetric damage, see [1] and Fig. 1 left.…”

“…The subcells do not damage in this approach but follow HOOKE's model. The continuity and periodicity of tractions and displacements along the subcell boundaries of the RUC, as well as the static equilibrium in each subcell need to be satisfied in the high-fidelity generalized method of cells (HFGMC) in an integral average, see [1,3]. A system of nonlinear equations is obtained by evaluating these conditions and taking evolving continuum damage into account.…”

“…A system of nonlinear equations is obtained by evaluating these conditions and taking evolving continuum damage into account. It is solved with a staggered solution scheme, see [1]. The interfacial jump condition with averaged quantities, denoted by Ď p‚q in Fig.…”

“…Values for the macroscopic strength are listed in[5, p. 1012] and[6, p. 1491]. A progressive continuum damage model is used for the evolution of D pβq , see[1] for more details. The damage parameters of this model, determined for the aforementioned composite, are also given therein.…”

Effective mechanical properties of piezoelectric–piezomagnetic hybrid smart composites

“…For overcoming the microscopic local stress concentration between inclusions and matrix due to the regular discrete elements, an isoparametric element is employed by Haj-Ali and Aboudi (2013) and Ye et al (2015a). Levi-Sasson et al (2016) constructed the parametric HFGMC to determine the failure envelopes of composite materials. The micromechanical model was proved to be effectiveness in predicting the multi-axis stress failures.…”