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Showing 1 to 13 of 13 for “"Elastoplasticity"”.
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Parallel multilevel procedures for elastoplasticity computations in solid mechanics
A multigrid method is described that can solve history dependent, material nonlinear solid mechanics problems using the finite element method. Specifically, an incremental Newton-Raphson procedure is used to linearize the nonlinear equilibrium equations. The multigrid method is then used to solve …
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Variational formulations and numerical analysis of some problems in small strain elastoplasticity
… of two boundary-value problems in small strain elastoplasticity. The first problem, which we call the incremental holonomic problem, is based on a consistent incremental holonomic constitutive law, which in turn derives from the notion of extremal paths in stress and strain space as originally …
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A finite strain theory of elastoplasticity and its application to wave propagation
… is reviewed in the context of finite strain elastoplasticity, and necessary conditions for the propagation of acceleration waves are derived. A comparison of elastic and plastic wave speeds is made, and inequalities similar to those of Mandel for the small-strain case are derived. The …
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Development and preliminary numerical investigations of a dislocation density-based finite-strain rate-dependent elastoplasticity constitutive model
… density-based finite-strain rate-dependent elastoplasticity constitutive model Finite-strain elastoplasticity constitutive models suitable for process-scale simulation are typically developed from empirical observations of phenomena of interest. Such models make use of internal state …
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Estimates for the rate of convergence of finite element approximations of the solution of a time-dependent variational inequality
… inequality and is followed by an application in elastoplasticity theory.
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Continuum Mechanics of Duhem’s Approach to Hysteresis
… Duhem model is equivalent to classical elastoplasticity with isotropic and kinematic hardening, with a judicious choice of Duhem’s function. To illustrate this example, we numerically simulate cyclic loading for materials with both linear and non-linear elastic behaviour, and linear …
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Dislocations and Green's functions in prestressed solids
… that 'gradient-based' integration algorithms of elastoplasticity cannot be directly employed. Therefore, two ad hoc integration algorithms are proposed: an explicit scheme based on a forward Euler technique with a 'centre-of-mass' return correction and an implicit scheme based on a …
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Nonlinear structural design using multiscale topology optimization
… evolution equations of small deformation elastoplasticity. Furthermore, to extend the adjoint sensitivity formulation, we account for the history dependence of internal state variables. Using these sensitivities and topology optimization, we distribute two elastoplastic materials within a …
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Formulation and Implementation of a Constitutive Model for Soft Rock
… of chalk. Chalk behavior is characterized by elastoplasticity, including pore collapse, shear failure, and tensile failure mechanisms; rate-dependence; and pore fluid dependence. The research described in this dissertation was performed with the objectives to formulate a constitutive model …
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Mechanistic-Empirical Pavement Design Procedure For Geosynthetically Stabilized Flexible Pavements
… the dynamic nature of vehicular loading. Pseudo-elastoplasticity is introduced into the problem by determining the extent of plastic strain using laboratory experimentation results and estimating the failure mechanisms, based on accumulated strains as opposed to the total strain (recoverable and …
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Holonomic Elastoplastic Truss Design Using Displacement Based Optimization
A Displacement Based Optimization (DBO) approach was applied to truss design problems with material nonlinearities, to explore feasibility and verify efficiency of the approach to solve such problem. Various truss sizing problems with holonomic (path-independent) elastoplastic laws were …
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Analysis of Glubam Joint Behavior and Truss Model Updating Based on Optimization Algorithms
… distinct mechanical behaviors such as ideal elastoplasticity, pinching, and gap characteristics—through series and parallel arrangements. This approach significantly reduced computational cost in structural analysis and facilitated subsequent parameter identification and model updating. The …