The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …

This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Abstract Machine learning is increasingly recognized as a promising technology in the
biological, biomedical, and behavioral sciences. There can be no argument that this …

The discovery of efficient and accurate descriptions for the macroscopic behavior of
materials with complex microstructure is an outstanding challenge in mechanics of …

Abstract We present a Data-Driven framework for multiscale mechanical analysis of
materials. The proposed framework relies on the Data-Driven formulation in mechanics …

We present an open-source software framework called PERMIX for multiscale modeling and
simulation of fracture in solids. The framework is an object oriented open-source effort …

COVID-19 has caused a serious impact on the global economy. Effectively stimulating
consumption has become a momentous mission in responding to the impact of the …

Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …