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Mechanics, Applied --- Mathematics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematics --- Mechanics, Applied - Mathematics. --- MECHANICS, APPLIED --- MATHEMATICS
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Computational Mechanics is the Proceedings of the 2007 International Symposium on Computational Mechanics (ISCM) held July 30-August 1, 2007 in Beijing. The book includes 22 full papers of plenary and semi-plenary lectures, and approximately 150 one-page summaries. This conference is the first of a series that is created by a group of prominent scholars from the Mainland of China, Hong Kong, Taiwan, and overseas Chinese, who are very active in the field. This conference series will be held alternately in the Mainland of China, Hong Kong, Macao, Taiwan, and overseas countries.
Mechanics, Analytic -- Mathematics -- Congresses. --- Mechanics, Analytic -- Mathematics. --- Mechanics, Applied -- Mathematics -- Congresses. --- Mechanics, Applied -- Mathematics. --- Civil & Environmental Engineering --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Civil Engineering --- Mathematics - General --- Mechanics, Applied --- Mechanics, Analytic --- Analytical mechanics --- Kinetics --- Applied mechanics --- Engineering, Mechanical --- Mathematics. --- Computer mathematics. --- Mechanics. --- Applied mathematics. --- Engineering mathematics. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Engineering mathematics --- Computer science --- Classical Mechanics. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing
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Deterministic chaos --- Mechanics, Applied --- Chaos déterministe --- Mécanique appliquée --- Mathematics --- Mathématiques --- -Deterministic chaos --- 531.01 --- Chaos, Deterministic --- Deterministic chaotic systems --- Chaotic behavior in systems --- Determinism (Philosophy) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematical theory of mechanics --- 531.01 Mathematical theory of mechanics --- Chaos déterministe --- Mécanique appliquée --- Mathématiques --- Mechanics, Applied - Mathematics
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This book deals with blow-up, or at least very rapid growth, of a solution to a system of partial differential equations that arise in practical physics situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Then the book concentrates on mechanics applications. In particular it deals with the Euler equations, Navier--Stokes equations, models for glacier physics, Korteweg--de-Vries equations, and ferro-hydrodynamics. Blow-up is treated in Volterra equations, too, stressing how these equations arise in mechanics, e.g. in combustion theory. The novel topic of chemotaxis in mathematical biology is also presented. There is a chapter on change of type, from hyperbolic to elliptic, addressing three new and important applications: instability in soils, instability in sea ice dynamics, and also instability in pressure-dependent viscosity flow. Finally, the book includes an exposition of exciting work, very recent and on-going, dealing with rapid energy growth in parallel shear flows. The book addresses graduate students as well as researchers in mechanics and applied mathematics.
Mechanics, Applied --- Blow up (Mathematics) --- Mécanique appliquée --- Mathematics. --- Mathématiques --- Blowing up (Algebraic geometry) --- Blowing up (Algebraic geometry). --- Mécanique appliquée --- Mathématiques --- Mechanics. --- Mechanics, Applied. --- Classical Mechanics. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mechanics, Applied - Mathematics.
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Mechanics, Applied --- Deterministic chaos. --- Mécanique appliquée --- Chaos déterministe --- Mathematics. --- Mathématiques --- Deterministic chaos --- Mathematics --- 531.01 --- -#KVIV:BB --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Chaos, Deterministic --- Deterministic chaotic systems --- Chaotic behavior in systems --- Determinism (Philosophy) --- Mathematical theory of mechanics --- 531.01 Mathematical theory of mechanics --- Mécanique appliquée --- Chaos déterministe --- Mathématiques --- #KVIV:BB --- Classical mechanics. Field theory --- Mechanics, Applied - Mathematics
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Finite element method --- Mechanics, Applied --- Variational principles. --- Mathematics. --- 51-72 --- -Variational principles --- #KVIV:BB --- Extremum principles --- Minimal principles --- Variation principles --- Calculus of variations --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mathematics--?-72 --- Mathematics --- Finite element method. --- 51-72 Mathematics--?-72 --- Variational principles --- Mathématiques --- Mécanique --- Mechanics, Applied - Mathematics. --- Methode variationnelle
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This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research. The topics covered in the book can be divided into three major themes: · Mathematical methods in applied mechanics (nine papers) · Experimental mechanics (nine papers) · Fracture mechanics (six papers) Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moiré, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.
Fracture mechanics -- Congresses. --- Mechanics, Applied -- Congresses. --- Mechanics, Applied -- Mathematics -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mechanics --- Classical mechanics --- Newtonian mechanics --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Physics --- Dynamics --- Quantum theory --- Mechanics, applied. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics
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Mechanics, Applied --- Rock mechanics --- Engineering geology --- Boundary element methods. --- Mathematics. --- Boundary element methods --- -Mechanics, Applied --- -Rock mechanics --- -Geotechnical engineering --- Mechanics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering --- Civil engineering --- Geology, Economic --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Numerical analysis --- Mathematics --- Geology --- -Mathematics --- Geotechnical engineering --- Elasticity. --- Geology. --- Rock mechanics. --- Mechanics, Applied - Mathematics. --- Rock mechanics - Mathematics. --- Engineering geology - Mathematics.
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Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics.
Mechanics, applied -- Mathematics. --- Mechanics --- Mechanics, Analytic --- Multiscale modeling --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematics - General --- Data processing --- Mechanics, Applied --- Computer science --- Technological innovations --- Informatics --- Multi-scale modeling --- Multiscale models --- Mathematics. --- Computer mathematics. --- Continuum physics. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Continuum mechanics. --- Computational Science and Engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Classical Continuum Physics. --- Computational Intelligence. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics of continua --- Elasticity --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematical models --- Multivariate analysis --- Computer science. --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Mathematical and Computational Engineering. --- Classical and Continuum Physics. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Physics. --- Solids. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids --- Natural philosophy --- Philosophy, Natural --- Physical sciences
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