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Titlebook: Computer Methods in Mechanics; Lectures of the CMM Mieczysław Kuczma,Krzysztof Wilmanski Book 2010 Springer-Verlag Berlin Heidelberg 2010

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Nonconvex Inequality Models for Contact Problems of Nonsmooth Mechanicsndation. The process is modeled by general nonmonotone possibly multivalued multidimensional Clarke subdifferential contact boundary conditions. The problems of frictional contact with both short and long memory, thermoviscoelastic frictional contact, bilateral frictional contact and bilateral conta
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Quadrature for Meshless Methodsas developed in [2]. Using a simple example we show that a natural quadrature scheme that satisfies no special properties, leads to severe inaccuracies in the approximate solution. We then show in the first analysis that a simple correction to the stiffness matrix controls the effect of the quadratu
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Shape and Topology Sensitivity Analysis for Elastic Bodies with Rigid Inclusions and Cracksof nucleation of small voids on some shape functionals. To this end the classical shape sensitivity analysis is combined with asymptotic expansions in order to determine the singular limits of shape derivatives which are called . of shape functionals. The topological derivatives are determined for e
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Unresolved Problems of Adaptive Hierarchical Modelling and ,-Adaptive Analysis within Computational lid mechanics. We consider simple and complex structures, i.e. structures described by one mechanical model or more than one mechanical model, respectively. We are interested in three fundamental problems of solid mechanics: the equilibrium (static) problem, eigenvalue (free vibration) problem, and
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Immune Computing: Intelligent Methodology and Its Applications in Bioengineering and Computational Moach belongs to biology inspired methods. Due to the complexity of functioning of the natural immune system, extracting higher level paradigms which could serve as the basis of constructing computational models and algorithmic solutions is made. Applications of this intelligent methodology to bioeng
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Bioinspired Algorithms in Multiscale Optimizatione is considered. The multiscale analysis is performed with the use of the homogenization method. The evolutionary algorithm, the artificial immune system and the particle swarm optimization are used in computations. The objective function evaluation with the use of the parallel homogenization algori
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A Multiscale Molecular Dynamics / Extended Finite Element Method for Dynamic Fracturemethod for discretizing the remainder of the domain. After recalling the basic equations of molecular dynamics and continuum mechanics the discretization is discussed for the continuum subdomain where the partition-of-unity property of finite element shape functions is used, since in this fashion th
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