Computationally efficient, high-fidelity micromechanics framework using refined 1D models

Abstract

A novel micromechanical framework based on higher-order refined beam models is presented. The micromechanical framework is developed within the scheme of the Carrera Unified Formulation (CUF), a hierarchical formulation which provides a framework to obtain refined structural theories via a variable kinematic description. The Component-Wise approach (CW), a recent extension of one-dimensional (1D) CUF models, is utilized to model components within the representative volume element (RVE). CW models employ Lagrange-type polynomials to interpolate the kinematic field over the element cross-sections of the beams and efficiently handles the analysis of multi-component structures such as RVE. The governing equations are derived in the weak form using finite element method. The framework derives its efficiency from the ability of CUF models to produce accurate displacement and 3D fields at a reduced computational cost. Three different cases of micromechanical homogenization are presented to demonstrate the efficiency and high-fidelity of the proposed framework. The results are validated through published literature results and via the commercial software ABAQUS. The capability of CUF-CW models to accurately predict the overall elastic moduli along with the recovery of local 3D fields is highlighted.

Micromechanical Progressive Failure Analysis of Fiber-Reinforced Composite Using Refined Beam Models

“…Micromechanical framework utilized in the paper is based on Lagrange-type expansion (LE) function and it was first introduced by Kaleel et al [24]. The Component-Wise approach (CW), a recent extension of one-dimensional CUF models, is utilized to model the components of the representative volume element (RVE).…”

“…3 [24]. The cross-section of the RVE is discretized into multiple CW Lagrange elements with different constitutive properties.…”

“…In the current work, a recently developed micromechanical framework based on refined beam models is used to predict the progressive failure evolution within the fiber-reinforced composites [24]. The refined beam models are based on Carrera Unified Formulation (CUF), a hierarchical formulation which offers a procedure to obtain refined structural theories that account for variable kinematic description [25].…”

Exact solutions for the macro-, meso- and micro-scale analysis of composite laminates and sandwich structures

“…Kaleel et al. 32 developed a novel and computationally efficient micromechanics framework based on 1D CUF-LE model to model components within RVEs. However, the aforementioned work is investigated in the domain of weak-form solutions, i.e.…”

“…Subsequently, exploiting CW capabilities, Maiaru´et al 31 extended 1D CUF-LE model for the prediction of failure parameters. Kaleel et al 32 developed a novel and computationally efficient micromechanics framework based on 1D CUF-LE model to model components within RVEs. However, the aforementioned work is investigated in the domain of weak-form solutions, i.e.…”