Modeling plasticity of amorphous composites: Scalar is not enough

Abstract

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed material under a uniform externally applied deviatoric stress. We show that due to the heterogeneities induced by the inclusions, a scalar modeling in terms of a single deviatoric strain of the same symmetry than the externally applied deformation gives inaccurate results. A realistic modeling must include all possible shear deformations. Implementing this model in a two-dimensional system we show that the effect of harder inclusions is very weak up to relatively high concentrations. For softer inclusions instead, the effect is much stronger, even a small concentration of inclusions affecting the form of the flow curve and the critical stress. We also present the details of a full three dimensional simulation scheme, and obtain the corresponding results, both for harder and softer inclusions.

arXiv comment11 pages, 8 figures

References in corpus (16)

• Dynamics of Viscoplastic Deformation in Amorphous Solids
• Yield Stress Materials in Soft Condensed Matter
• Modeling the mechanics of amorphous solids at different length and time scales
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Disorder-Driven Pretransitional Tweed in Martensitic Transformations
• Ferroelastic Dynamics and Strain Compatibility
• Avalanches, precursors and finite size fluctuations in a mesoscopic model of amorphous plasticity
• Universality of Avalanche Exponents in Plastic Deformation of Disordered Solids
• Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• On maturation of crack patterns
• On the critical exponents of the yielding transition of amorphous solids
• Orientation of plastic rearrangements in two-dimensional model glasses under shear
• Finite size effects in a model for plasticity of amorphous composites
• Morphologies of expansion ridges of elastic thin films onto a substrate
• Strain localization driven by structural relaxation in sheared amorphous solids

Cited by in corpus (8)

• Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
• Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids
• The yielding of amorphous solids at finite temperatures
• Properties of the density of shear transformations in driven amorphous solids
• Temperature dependence of fast relaxation processes in amorphous materials
• Discontinuous yielding transition of amorphous materials with low bulk modulus
• The Fate of Shear-Oscillated Amorphous Solids
• Volume-shear coupling in a mesoscopic model of amorphous materials