Instabilities in solids and structures are ubiquitous across all length and time scales, and
engineering design principles have commonly aimed at preventing instability. However …

Here, we review the basic concepts and applications of the phase-field-crystal (PFC)
method, which is one of the latest simulation methodologies in materials science for …

Contact is ubiquitous and often unavoidable and yet modeling contacting systems continues
to stretch the limits of available computational tools. In part this is due to the unique hurdles …

Abstract We extend the Data-Driven formulation of problems in elasticity of Kirchdoerfer and
Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems …

This paper gives a review of integration algorithms for finite dimensional mechanical
systems that are based on discrete variational principles. The variational technique gives a …

Hard magnetorheological elastomers (h-MREs) are essentially two phase composites
comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric …

This work develops new minimization and saddle point principles for the coupled problem of
Darcy–Biot-type fluid transport in porous media at fracture. It shows that the quasi-static …

The purpose of this work is twofold. First, we demonstrate analytically that the classical
Newmark family as well as related integration algorithms are variational in the sense of the …

The paper investigates computational procedures for the treatment of a homogenized macro-
continuum with locally attached micro-structures of inelastic constituents undergoing small …

We propose a thermodynamics-based learning strategy for non-equilibrium evolution
equations based on Onsager's variational principle, which allows us to write such PDEs in …