Showing papers by "Christian Miehe published in 1999"
TL;DR: In this paper, the deformation of a micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field.
594 citations
TL;DR: In this article, a numerical procedure for the computation of the overall moduli of polycrystalline materials based on a direct evaluation of a micro-macro transition is presented, where the deformation of the micro-structure is coupled with the local deformation at a typical point on the macrocontinuum by three alternative constraints of the microscopic fluctuation field.
251 citations
TL;DR: In this paper, the authors propose two new elastoplastic constitutive models for the description of deformation mechanisms of frictional materials which are suitable for a wide range of applications in soil mechanics.
Abstract: The paper proposes two new elastoplastic constitutive models for the description of deformation mechanisms of frictional materials which are suitable for a wide range of applications in soil mechanics. The first model provides an extension of the classical Drucker-Prager-type function in order to overcome numerical difficulties in the tensile stress range. The key idea here is the introduction of a constantperturbation-type parameter which yields aC
2-differentiable smoothing-out of the peak of the Drucker-Prager cone. We then extend this formulation to a closed single-surface model based on a decoupled description of the deviatoric and the mean stress response. Both models are equipped with a saturation-type hardening mechanism. They have proved to be very robust and successful in numerical implementations.
13 citations
01 Jan 1999
TL;DR: In this article, a theoretical and computational concept for the implementation of different possible micro-macro-transitions at finite strains under non-isothermal conditions was proposed, based on a coupled discretization of both the macro-continuum and a pointwise attached micro-structure.
Abstract: We have proposed a theoretical and computational concept for the implementation of different possible micro-macro-transitions at finite strains under non-isothermal conditions. The concept bases on a coupled discretization of both the macro-continuum and a pointwise attached micro-structure and exploits in a straigtforward manner volume averaging theorems. This approach has been applied to the simulation of the texture development in polycrystals under nonisothermal conditions, where a robust fully implicit stress update algorithm for single crystal thermoplasticity on the micro-structure has been applied.
1 citations
Journal Article•
1 citations
01 Jan 1999
TL;DR: In this article, the authors presented aspects of non-isothermal elastoplastic analysis of shells at large strains, including the construction of a new 8-node brick-type finite shell element for coupled thermomechanical analysis and setup of a constitutive framework of large-strain thermo-elasto-plasticity in shells based on the notion of a plastic metric.
Abstract: The paper presents aspects of non-isothermal elastoplastic analysis of shells at large strains. The two main topics are the construction of a new 8-node brick-type finite shell element for coupled thermomechanical analysis and the setup of a constitutive framework of large-strain thermo-elasto-plasticity in shells based on the notion of a plastic metric. The development is in line with recent works [7], [5], [12], [17], [16], [10] and others on finite elastoplastic analysis of shell-like structures.