Presented is a constitutive framework for modeling the dynamic response of polycrystalline microstructures, posed in a thermodynamically consistent manner and accounting for finite deformation, strain rate dependence of flow stress, thermal softening, thermal expansion, heat conduction, and thermoelastic coupling. Assumptions of linear and square-root dependencies, respectively, of the stored e...

This article provides a critical review of past and current techniques for the computational modeling of ligaments and tendons. A brief overview of relevant concepts from the fields of continuum mechanics and finite element analysis is provided. The structure and function of ligaments and tendons are reviewed in detail, with emphasis on the relationship of microstructural tissue features to the...

The new class of wrought γ-γ/ Co-base superalloys, which are based on Co-Al-W system,  was developed by conventional hot working routes with a high volume fraction of γ/ precipitates and good mechanical properties. The aim of the present study was to predict the flow stress and hot deformation modeling of a novel γ-γ/ Co-base superalloy. The hot compression test...

A discrete constitutive equation for modeling material failure as a decohesion or separation of material to form two free surfaces is a relatively simple approach. However, numerical simulations based on such a model involve considerable complexity including remeshing if the finite element approach is used. Here, a basic formulation involving the simultaneous application of the continuum and de...

Constitutive models for the dynamics of polymer solutions traditionally rely on closure relations extra stress or related microstructural variables (e.g., conformation tensor) linking them to flow history. In this work, we study eigendynamics tensor within GENERIC framework in mesoscopic computer simulations separate effects nonaffine motion from other sources non-Newtonian behavior. We observe...

Twisting and bending deformations are crucial to the biological functions of several microfilaments such as DNA molecules. Although continuum-rod models have emerged as efficient tools to describe the nonlinear dynamics of these deformations, a major roadblock in the continuum-mechanics-based description of microfilaments is the accurate modeling of the constitutive law, which follows from its ...

PURPOSE During the last decades, derivatives and integrals of non-integer orders are being more commonly used for the description of constitutive behavior of various viscoelastic materials including soft biological tissues. Compared to integer order constitutive relations, non-integer order viscoelastic material models of soft biological tissues are capable of capturing a wider range of viscoel...

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