A finite element heterogeneous multiscale method is proposed for the wave equation with
highly oscillatory coefficients. It is based on a finite element discretization of an effective …

Stochastic multiscale modeling and analysis for the strength prediction of composite
structures with complex multiscale random configurations remain a challenging problem …

For most of materials, the properties of the materials are usually dependent on the
temperature, which causes the nonlinear physical and mechanical material behaviors. In …

This paper discusses the multiscale asymptotic expansion for combustion system with
composite materials or porous media in thermal protection system. The combustion system …

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the
numerical solution of the wave equation over long times in a rapidly varying medium. Our …

This study presents a novel multi-scale computational method to analyze the dynamic
thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic …

This paper discusses the multiscale computation for linear time-dependent thermoelastic
equations in composite materials with a periodic microstructure. The new contributions …

In this paper, a novel high-order three-scale (HOTS) computational method is presented to
analyze the dynamic thermo-mechanical performance of composite structures with multiple …

SUMMARY A uniform extended multiscale finite element method is developed for solving
the static and dynamic problems of heterogeneous materials in elasticity. To describe the …

The traditional structural composites are known as materials with a spatial order. The
temporal order is introduced into structural composites in this paper. We theoretically …