This book contains selected, extended papers presented at the thematic ECCOMAS conference on Computational Modelling and Advanced Simulations (CMAS2009) held in Bratislava, Slovakia, June 30 July 3, 2009.

Modelling and simulation of engineering problems play a very important role in the classic and new composite material sciences, and in design and computational prototyping of modern and advanced technologic parts and systems. According to this, the existing numerical methods have been improved and new numerical methods have been established for modelling and simulation of more and more complex and complicated engineering problems.

The present book should contribute to the effort to make modelling and simulation more effective and accurate.

Introduction; 1. Nonlinear Dynamic Analysis of Partially Supported Beam-Columns on Nonlinear Elastic Foundation Including Shear Deformation Effect, byE.J. Sapountzakis, A.E. Kampitsis;2. Mechanics of viscoelastic plates made of FGMs, byH. Altenbach, V.A. Eremeyev;3.Indirect Trefftz method for solving Cauchy problem of linear piezoelectricity, byG. Dziatkiewicz, P. Fedeliski;4.New Phenomenological Model for Solid Foams, byV. Goga;5.The Effect of an Interphase on Micro-Crack Behaviour in Polymer Composites, byP. Huta, L. Náhlík, Z. Majer, Z. Knésl;6. Temperature Fields in Short Fibre Composites, byV. Kompi¨, Z. Murinková, M. Okay;7.Simulation of Distributed Detection of Ammonia Gas, by O. Sýkora, J. Aubrecht, R. Klepáek, L. Kalvoda;8.Exact Solution of Bending Free Vibration Problem of the FGM Beams with Effect of Axial Force, byJ. Murín, M. Aminbaghai, V. Kuti¨;9. Wavelet Analysis of the Shear Stress in Soil Layer Caused by Dynamic Excitation;A. Borowiec;10.Strength of Composites with Short Fibres, byE. Kormaníková, D. Riecky, M. ¸mindák;11.A direct boundary element formulation for the first plane problem in the dual system of micropolar elasticity, byGy. Szeidl, J. Dudra;12. Implementation ofmeshless method fora  problem of a plate large deflection, byA. Uscilowska;13. Modelling and Spatial Discretization in Depletion Calculations of the Fast Reactor Cell with HELIOS 1.10, byR. Zajac, P. Darilek, V. Necas;14.Linear Algebra Issues in a Family of Advanced Hybrid Finite Elements, byN.A. Dumont, C.A. Aguilar Marón;15. On Drilling Degrees of Freedom, byS. Kugler, P.A. Fotiu, Justin Murin;16. Hybrid System for Optimal Design of Mechanical Properties of Composites, byJ. Winiewski, K. Dems;17. Analysis of Representative Volume Elements with Random Microcracks, byP. Fedelinski;18. Application of general boundary element method for numerical solution of bioheat transfer equation, byE. Majchrzak.