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This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.
Engineering. --- Theoretical and Applied Mechanics. --- Computational Intelligence. --- Mechanics. --- Mechanics, applied. --- Ingénierie --- Mécanique --- Elastic. --- Elastic solids. --- Elasticity -- Congresses. --- Elasticity. --- Elasticity --- Continuum mechanics --- Civil Engineering --- Applied Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Continuum mechanics. --- Mechanics of continua --- Elastic properties --- Young's modulus --- Computational intelligence. --- Mechanics, Applied. --- Mechanical engineering. --- Mechanical Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Applied mechanics --- Engineering mathematics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Mechanics, Analytic --- Field theory (Physics) --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Classical Mechanics.
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This monograph book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and piezomagnetic effects, the Mindlin’s electroelastic coupling due to a polarization gradient, and different combinations of these effects with thermoelasticity. It introduces the basic concepts and equations for the theories of electro- and magneto-mechanical couplings due to piezoeffects and polarization gradient and extends the existing dislocation theory for various cases and geometries.
Engineering. --- Vibration, Dynamical Systems, Control. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics. --- Applications of Mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Mechanical Engineering. --- Mathematics. --- Engineering mathematics. --- Materials. --- Vibration. --- Mechanical engineering. --- Ingénierie --- Mathématiques --- Mécanique --- Mathématiques de l'ingénieur --- Matériaux --- Vibration --- Génie mécanique --- Electromagnetic fields. --- Piezoelectricity. --- Thermoelasticity. --- Electromagnetic fields --- Thermoelasticity --- Piezoelectricity --- Civil Engineering --- Electricity & Magnetism --- Civil & Environmental Engineering --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Piezo-electricity --- Piezoelectric effect --- Pyro- and piezo-electricity --- Elastic solids --- Fields, Electromagnetic --- Thermal properties --- Physics. --- Applied mathematics. --- Continuum mechanics. --- Dynamical systems. --- Dynamics. --- Physics, general. --- Crystallography --- Electricity --- Pyroelectricity --- Continuum mechanics --- Elasticity --- Thermodynamics --- Magnetic fields --- Electric fields
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The book presents an updated state-of-the-art overview of the general aspects and practical applications of the theories of thin structures, through the interaction of several topics, ranging from non-linear thin-films, shells, junctions, beams of different materials and in different contexts (elasticity, plasticity, etc.). Advanced problems like the optimal design and the modeling of thin films made of brittle or phase-transforming materials will be presented as well.
Engineering. --- Structural Mechanics. --- Mathematical Methods in Physics. --- Continuum Mechanics and Mechanics of Materials. --- Mathematical physics. --- Materials. --- Mechanical engineering. --- Ingénierie --- Physique mathématique --- Matériaux --- Génie mécanique --- Thin-walled structures. --- Thin-walled structures --- Strains and stresses --- Girders, Continuous --- Elastic plates and shells --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematical models --- Mathematical models. --- Structures, Thin-walled --- Architectural engineering --- Engineering, Architectural --- Stresses and strains --- Continuous girders --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Physics. --- Mechanics. --- Continuum mechanics. --- Structural mechanics. --- Elastic waves --- Elasticity --- Plasticity --- Girders --- Structural engineering --- Architecture --- Elastic solids --- Flexure --- Mechanics --- Statics --- Structural analysis (Engineering) --- Deformations (Mechanics) --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves --- Structural design --- Mechanics, Applied. --- Classical Mechanics. --- Solid Mechanics. --- Physical mathematics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences
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