Displaying similar documents to “Numerical Modelling of Contact Elastic-Plastic Flows”

A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes

P. Barral, P. Quintela, M. T. Sánchez (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The aim of this work is to present a computationally efficient algorithm to simulate the deformations suffered by a viscoplastic body in a solidification process. This type of problems involves a nonlinearity due to the considered thermo-elastic-viscoplastic law. In our previous papers, this difficulty has been solved by means of a duality method, known as Bermúdez–Moreno algorithm, involving a multiplier which was computed with a fixed point algorithm or a Newton method. In this paper,...

A frictionless contact algorithm for deformable bodies

Olivier Pantz (2011)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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This article is devoted to the presentation of a new contact algorithm for bodies undergoing finite deformations. We only address the kinematic aspect of the contact problem, that is the numerical treatment of the non-intersection constraint. In consequence, mechanical aspects like friction, adhesion or wear are not investigated and we restrict our analysis to the simplest frictionless case. On the other hand, our method allows us to treat contacts and self-contacts, thin or non-thin...

Dynamic contact problems in bone neoplasm analyses and the primal-dual active set (PDAS) method

Nedoma, Jiří

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In the contribution growths of the neoplasms (benign and malignant tumors and cysts), located in a system of loaded bones, will be simulated. The main goal of the contribution is to present the useful methods and efficient algorithms for their solutions. Because the geometry of the system of loaded and possible fractured bones with enlarged neoplasms changes in time, the corresponding mathematical models of tumor's and cyst's evolutions lead to the coupled free boundary problems and...

Open and closed shear-walls in high-rise structural systems: Static and dynamic analysis

Alberto Carpinteri, Giuseppe Lacidogna, Giuseppe Nitti (2016)

Curved and Layered Structures

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In the present paper, a General Algorithm is applied to the analysis of high-rise structures. This algorithm is to be used as a calculation tool in preliminary design; it allows to define the interaction between closed and open, straight or curved shear-walls, and the forces exchanged in structures subject to mainly horizontal loads. The analysis can be performed in both static and dynamic regimes, the mode shapes and the natural frequencies being assessed. This general formulation allows...

Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations

Lukeš, Vladimír, Rohan, Eduard, Cimrman, Robert

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This article deals with an algorithm for numerical modelling of hyperelastic heterogeneous materials undergoing large deformations. The microstructure of these materials is changing (deforming) during a loading process, the changes in the microstructure depend on macroscopic deformations. To compute macroscopic responses, we must know material stiffness parameters and stresses in the heterogeneous structure. These effective parameters are obtained by solving microscopic problems. The...

Buckling optimisation of sandwich cylindrical panels

M. Abouhamzeh, M. Sadighi (2016)

Curved and Layered Structures

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In this paper, the buckling load optimisation is performed on sandwich cylindrical panels. A finite element program is developed in MATLAB to solve the governing differential equations of the global buckling of the structure. In order to find the optimal solution, the genetic algorithm Toolbox in MATLAB is implemented. Verifications are made for both the buckling finite element code and also the results from the genetic algorithm by comparisons to the results available in literature....

A numerical perspective on Hartree−Fock−Bogoliubov theory

Mathieu Lewin, Séverine Paul (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The method of choice for describing attractive quantum systems is Hartree−Fock−Bogoliubov (HFB) theory. This is a nonlinear model which allows for the description of , the main explanation for the superconductivity of certain materials at very low temperature. This paper is the first study of Hartree−Fock−Bogoliubov theory from the point of view of numerical analysis. We start by discussing its proper discretization and then analyze the convergence of the simple fixed point (Roothaan)...