Predictive strain-gradient homogenization of a pantographic material with compliant junctions

Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

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Two-scale Homogenization for a Model in Strain Gradient Plasticity

Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis (J. Mech. Phys. Solids, 2004) concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in t...

Gradient - enhanced strain softening material models

Classical continuum models exhibit strong mesh dependency during strain softening. For such materials, the phenomenon may be regularized via the gradient-enhanced nonlocal formulation. The paper discusses the implicit gradient framework and demonstrates that standard nonlocal enhancement may serve only as a partial localization limiter. The over-nonlocal approach, where the weight for the nonlo...

A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

Autonomous Construction with Compliant Building Material

In this paper, we develop an autonomous construction system in which a self-contained ground robot builds a protective barrier by means of compliant pockets (i.e., filled bags). We present a stochastic control algorithm based on two biological mechanisms (stigmergy and templates) that takes advantage of compliant pockets for autonomous construction. The control algorithm guides the robot to bui...