Models for the yielding behaviour of amorphous solids

Abstract

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent years. Investigations employing both unidirectional and cyclic deformation protocols reveal a strong dependence of yielding behaviour on the degree of annealing. Below a threshold degree of annealing, the nature of yielding changes qualitatively, to progressively more discontinuous yielding. Theoretical investigations of yielding in amorphous solids have almost exclusively focused on yielding under unidirectional deformation, but cyclic deformation reveals several interesting features that remain largely un-investigated. Focusing on athermal cyclic deformation, I investigate a family of models based on an energy landscape description. These models reproduce key interesting features observed in simulations, and provide an interpretation for the intriguing presence of a threshold energy.

References in corpus (28)

• Rheology of Soft Glassy Materials
• Yield Stress Materials in Soft Condensed Matter
• The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
• Deformation and Failure of Amorphous Solidlike Materials
• Memory formation in matter
• A random critical point separates brittle and ductile yielding transitions in amorphous materials
• The yielding transition in amorphous solids under oscillatory shear deformation
• Oscillatory athermal quasi-static deformation of a model glass
• Evaluation of the "disorder temperature" and "free volume" formalisms via simulations of shear banding in amorphous solids
• Microscopic Mechanism of Shear Bands in Amorphous Solids
• Glass stability changes the nature of yielding under oscillatory shear
• Shear bands as manifestation of a criticality in yielding amorphous solids
• Networks and Hierarchies: How Amorphous Materials Learn to Remember
• A stability-reversibility map unifies elasticity, plasticity, yielding and jamming in hard sphere glasses
• Elasto-plastic description of brittle failure in amorphous materials
• Shear yielding and shear jamming of dense hard sphere glasses
• Mechanical Yield in Amorphous Solids: a First-Order Phase Transition
• Ductile and brittle yielding in thermal and athermal amorphous materials
• Strain localisation above the yielding point in cyclically deformed glasses
• Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity
• Shear Banding of Soft Glassy Materials in Large Amplitude Oscillatory Shear
• An elasto-plastic approach based on microscopic insights for the steady state and transient dynamics of sheared disordered solids
• The yielding transition in periodically sheared binary glasses at finite temperature
• Cyclic annealing as an iterated random map
• Emergence and persistence of flow inhomogeneities in the yielding and fluidization of dense soft solids
• Memory Effects in Schematic Models of Glasses Subjected to Oscillatory Deformation
• Different universality classes at the yielding transition of amorphous systems
• Permanent shear localization in dense disordered materials due to microscopic inertia

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• Mechanical memories in solids, from disorder to design
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• Finite-disorder critical point in the yielding transition of elasto-plastic models
• Yielding, shear banding and brittle failure of amorphous materials
• Mapping out the glassy landscape of a mesoscopic elastoplastic model
• Yielding and plasticity in amorphous solids
• Metastability as a mechanism for yielding in amorphous solids under cyclic shear
• Yielding transition of a two dimensional glass former under athermal cyclic shear deformation
• Avalanches and Structural Change in Cyclically Sheared Silica Glass
• Annealing effects of multidirectional oscillatory shear in model glass formers
• Self-organization and memory in an disordered solid subject to random loading
• Mean field theory of yielding under oscillatory shear
• Effect of adhesive interaction on strain stiffening and dissipation in granular gels undergoing yielding