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Exploiting microstructural instabilities in solids and structures: from metamaterials to structural transitions
Instabilities in solids and structures are ubiquitous across all length and time scales, and
engineering design principles have commonly aimed at preventing instability. However …
engineering design principles have commonly aimed at preventing instability. However …
Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
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 …
method, which is one of the latest simulation methodologies in materials science for …
[PDF][PDF] Incremental potential contact: intersection-and inversion-free, large-deformation dynamics.
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 …
to stretch the limits of available computational tools. In part this is due to the unique hurdles …
Model-free data-driven inelasticity
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 …
Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems …
Discrete mechanics and variational integrators
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 …
systems that are based on discrete variational principles. The variational technique gives a …
An explicit dissipative model for isotropic hard magnetorheological elastomers
Hard magnetorheological elastomers (h-MREs) are essentially two phase composites
comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric …
comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric …
Minimization principles for the coupled problem of Darcy–Biot-type fluid transport in porous media linked to phase field modeling of fracture
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 …
Darcy–Biot-type fluid transport in porous media at fracture. It shows that the quasi-static …
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
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 …
Newmark family as well as related integration algorithms are variational in the sense of the …
Strain‐driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
The paper investigates computational procedures for the treatment of a homogenized macro-
continuum with locally attached micro-structures of inelastic constituents undergoing small …
continuum with locally attached micro-structures of inelastic constituents undergoing small …
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile
single crystals is developed. The theory accounts for: an arbitrary number and arrangement …
single crystals is developed. The theory accounts for: an arbitrary number and arrangement …