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

Lukeš, Vladimír; Rohan, Eduard; Cimrman, Robert

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Displaying similar documents to “Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations”

On a new computational algorithm for impacts of elastic bodies

Hynek Štekbauer, Ivan Němec, Rostislav Lang, Daniel Burkart, Jiří Vala (2022)

Applications of Mathematics

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Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained...

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,...

Algorithm 38. Calculation of all marginal means from an n-way table

Anna Bartkowiak (1975)

Applicationes Mathematicae

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A modified algorithm for the strict feasibility problem

D. Benterki, B. Merikhi (2010)

RAIRO - Operations Research

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In this note, we present a slight modification of an algorithm for the strict feasibility problem. This modification reduces the number of iterations.

Measuring and maintaining consistency: a hybrid FTF algorithm

James Bunch, Richard Le Borne, Ian Proudler (2001)

International Journal of Applied Mathematics and Computer Science

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Due to the versatility as well as its ease of implementation, the Fast Transversal Filters algorithm is attractive for many adaptive filtering applications. However, it is not widely used because of its undesirable tendency to diverge when operating in finite precision arithmetic. To compensate, modifications to the algorithm have been introduced that are either occasional (performed when a predefined condition(s) is violated) or structured as part of the normal update iteration. However,...