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# Topic: Elasticity (solid mechanics)

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 Solid mechanics - Wikipedia, the free encyclopedia Typically, solid mechanics uses linear models to relate stresses and strains (see linear elasticity). Solid mechanics is the branch of physics and mathematics that concern the behavior of solid matter under external actions (e.g., external forces, temperature changes, applied displacements, etc.). Solid mechanics extensively uses tensors to describe stresses, strains, and the relationship between them. en.wikipedia.org /wiki/Solid_mechanics   (356 words)

 Solid Mechanics Solid mechanics is the branch of physics that is concerned with the manner in which solid materials handle applied stress, for example, in the form of external forces. It is also known as the theory of elasticity and is a sub-category of the larger branch of physics known as continuum mechanics. Nonlinear Solid Mechanics: A Continuum Approach for Engineering by Gerhard A. Holzapfel www.iscid.org /encyclopedia/Solid_Mechanics   (142 words)

 Solid Mechanics & Materials Engineering Group Research in Solid Mechanics has a long tradition in Oxford, initiated by Hooke, whose work on the elasticity of springs may be regarded as the foundation of the mechanics of deformable solids. At present activities spread over a wide field and are strongly focussed towards practical industrial applications. www.eng.ox.ac.uk /solidmech/home/Home.html   (48 words)

 Postgraduate Lecture: Nonlinear Elasticity and Computational Solid Mechanics The motivation for the course is as follows: The nonlinear Navier Stokes equations of fluid mechanics are well known in their exact form and are commonly used as the starting point for any mathematical investigation. In many ways it is easier to re-derive the governing equations of continuum mechanics (without any restrictions on the magnitude of the displacements) from scratch. Attempts to extend the linearised theory to larger displacements are tedious (and error prone!) since many of the complications associated with large displacements cannot really be appreciated from the framework of a small displacement-theory. www.ma.man.ac.uk /~mheil/Lectures/NLElasticity/NLElasticity.html   (424 words)

 Elastic - Wikipedia, the free encyclopedia The elasticity of a solid is inversely proportional to the strength of the material. In solid mechanics, the adjective elastic characterises both collisions between, and deformations of, physical objects. The deformation of a solid is part of the study of solid mechanics. en.wikipedia.org /wiki/Elasticity_(physics)   (444 words)

 E83 Continuum Mechanics The theory of elasticity is concerned with modeling the deformations of and stresses in continuous media characterized by linear relationships between stress and strain. Shames and C. Dym, Energy and Finite Element Methods in Structural Mechanics, Taylor and Francis, 1985. Dym, Stability Theory and Its Applications to Structural Mechanics, Noordhoff, 1974 and Dover Publications, 2002. www4.hmc.edu:8001 /Engineering/E173   (619 words)

 Solid Solid mechanics Solid mechanics (also known as the Theory of elasticity) is a branch of continuum mechanics. Solid angle A solid angle is the three dimensional analog of the ordinary surface area of the part of the sphere that is... Solid state chemistry Solid-state chemistry is the study of solid materials, which may be molecular. www.brainyencyclopedia.com /topics/solid.html   (619 words)

 mechanics. The Columbia Encyclopedia, Sixth Edition. 2001-05 The science of mechanics may also be broken down, according to the state of matter being studied, into solid mechanics and fluid mechanics. In the quantum mechanics developed during the 1920s as part of the quantum theory, the motions of very tiny particles, such as the electrons in an atom, were explained using the fact that both matter and energy have a dual nature—sometimes behaving like particles and other times behaving like waves. Mechanics was studied by a number of ancient Greek scientists, most notably Aristotle, whose ideas dominated the subject until the late Middle Ages, and Archimedes, who made several contributions and whose approach was quite modern compared to other ancient scientists. www.bartleby.com /65/me/mechanics.html   (694 words)

 MTH-3D45 : Nonlinear Elasticity The resurgence of modern continuum mechanics, and of nonlinear elasticity in particular, began c. In this course we examine the general foundations of continuum mechanics, setting up the basic equations for both fluid and solid mechanics. Introduction: The prerequisite is Elasticity and Lagrangian Systems, replaced by Mathematics for Geophysical Science II for ENV students, which ensures a little prior knowledge of linear elasticity. www.mth.uea.ac.uk /maths/syllabuses99-00/3D4599.html   (651 words)

 Introduction to Linear Elasticity This applications-oriented introduction to the theory of elasticity fills an important gap in the field of solid mechanics. Students will thus not only be able to apply the basic notions of mechanics to such important topics as stress analysis, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. The book is intended to provide a thorough grounding in the tensor-based theory of elasticity for students of mechanical, civil, materials or aeronautical engineering. www.netcomposites.com /netcommerce_features.asp?539   (112 words)

 Solid in TutorGig Encyclopedia Solid mechanics also known as the theory of elasticity is a branch of physics, which governs the response of solid material to applied stress physics stress e.g., external force s. Solid modelling or modeling studies unambiguous representations of the solid parts of an object, that is, model s of solid objects suitable for computer processing. A solid is a state of matter, characterized by a definite volume and a definite shape i.e. www.tutorgig.com /es/Solid   (112 words)

 Fracture Mechanics For a brittle elastic solid this strength is estimated to be around E/10, E being the modulus of elasticity The stress at which fracture occurs in a material is termed fracture strength Uses fracture analysis to determine the critical stress at which a crack will propagate and eventually fail www.jwave.vt.edu /crcd/farkas/lectures/Fract1/tsld015.htm   (90 words)

 ENGnetBASE: Engineering Handbooks Online The second edition of this popular text continues to provide a solid, fundamental introduction to the mathematics, laws, and applications of continuum mechanics. Mastering the contents of Continuum Mechanics: Second Edition provides the reader with the foundation necessary to be a skilled user of today's advanced design tools, such as sophisticated simulation programs that use nonlinear kinematics and a variety of constitutive relationships. With this basis established, they move to their expanded treatment of applications, including linear and nonlinear elasticity, fluids, and linear viscoelasticity. www.engnetbase.com /ejournals/books/book_summary/summary.asp?id=470   (179 words)

 CFD Resources Online - Homepage Database Research primarily in the areas of mechanics of fluids and solids and thermodynamics. Provides consulting services in thermo-fluids, solid mechanics, electro-magnetics, vibrations and chemical reactions. Fluid Mechanics and Turbulence, Thermodynamics and Heat Transfer, Gas-dynamics and Turbomachinery, Multiphase Flow and Combustion Modeling. www.cfd-online.com /Resources/homes.html   (179 words)

 Search Encyclopedia.com mechanics mechanics, branch of physics concerned with motion and the forces that tend to cause it; it includes study of the mechanical properties of matter, such as density, elasticity, and viscosity. statistical mechanics statistical mechanics, quantitative study of systems consisting of a large number of interacting elements, such as the atoms or molecules of a solid, liquid, or gas, or the individual quanta of light (see photon) making up electromagnetic radiation. Mechanics may be roughly divided into statics and dynamics; statics deals with bodies at rest and is concerned with such topics... www.encyclopedia.com /searchpool.asp?target=Timeline+of+classical+mechanics   (594 words)

 MA7011 Applied Nonlinear Elasticity Solid mechanics deals with the motions and deformations experienced by solid bodies under the action of external agents; a special branch of this field is the theory of elasticity which is built on the assumption that no permanent deformations are allowed. The primary objective of this course is to illustrates the theory of elasticity with a pervading emphasis on nonlinear aspects and the interplay between mathematics and engineering sciences. The main aim of the theory of elasticity is to provide a description of deformed bodies in terms of certain preferential configurations. www.mcs.le.ac.uk /Modules/MA/MA7011.html   (605 words)

 physics - Young's modulus In solid mechanics, Young's modulus (also known as the modulus of elasticity or elastic modulus) is a measure of the stiffness of a given material. The SI unit of modulus of elasticity is the pascal. The modulus of elasticity of a material can be used to calculate the tension force it exerts under a specific extension. www.physicsdaily.com /physics/Modulus_of_elasticity   (471 words)

 Young's modulus - Wikipedia, the free encyclopedia In solid mechanics, Young's modulus (also known as the modulus of elasticity, tensile modulus or elastic modulus) is a measure of the stiffness of a given material. The SI unit of modulus of elasticity is the pascal. The modulus of elasticity can also be measured in other units of pressure, for example pounds per square inch (psi). en.wikipedia.org /wiki/Young's_modulus   (306 words)

 Elastic - Wikipedia, the free encyclopedia The elasticity of a solid is inversely proportional to its stiffness. In solid mechanics, the adjective elastic characterises both collisions between, and deformations of, physical objects. The deformation of a solid is part of the study of solid mechanics. en.wikipedia.org /wiki/Elastic   (684 words)

 Solid and Structural Mechanics Books-Lurie Partial contents: homogeneous solutions for the biharmonic problem; method of solution for the biharmonic problem of mathematical physics; plane problem of the theory of elasticity in Cartesian coordinates; plane problem of the theory of elasticity in polar coordinates; biharmonic problem of the classical plate theory; axisymmetric problem of the theory of elasticity for the cylinder. Beginning with a presentation of a general mathematical model, the authors proceed to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. Lurie, S. and Vasiliev, V. Biharmonic Problem of the Theory of Elasticity www.solid.ikp.liu.se /solidbook/luri1.html   (140 words)

 Green's Functions - Reading List Ting, T. (1995) "Green's functions for an anisotropic elliptic inclusion under antiplane deformations," in Anisotropy, Inhomo­geneity, and Nonlinearity in Solid Mechanics, D. Parker and A. England, eds., Kluwer Acad. Barnett, D. (1972) "The precise evaluation of derivatives of the anisotropic elastic Green's functions," Physica Status Solidi B 49, 741-748. Lifshitz, I. M., and Rozenzweig, L. (1947) "On the construction of the Green's tensor for the basic equation of the theory of elasticity of an anisotropic infinite medium," Zh. www.ctcms.nist.gov /gf/readinglist/references.html   (1502 words)

 Elastic - Wikipedia, the free encyclopedia The elasticity of a solid is inversely proportional to its stiffness. The deformation of a solid is part of the study of solid mechanics. In solid mechanics, the adjective elastic characterises both collisions between, and deformations of, physical objects. en.wikipedia.org /wiki/Elastic   (657 words)

 Vita Pence and D. Bernardini, A multi-field model for solid-solid phase transformation, IMA workshop: Nonlinear Continuum Mechanics, Rheology and the Dynamo, March 18-22, 2002, Minneapolis, MN. Pence and H. Tsai, On the cavitation of a swollen compressible sphere in finite elasticity, International Journal of Nonlinear Mechanics 40 (2005) 307-321. Pence and H. Tsai (invited), Swelling induced cavitation in elastic spheres, Modern Mechanics and Mathemataics (an international conference in honor of Ray Ogden's 60th birthday), August 26-28, 2003 Keele, UK. www.egr.msu.edu /~pence/Vita1.html   (4924 words)

 Strength of materials Elasticity describes the state where the work offered by the application of external agents (forces), is stored in the material in form of elastic energy and it is recovered in form of displacement when external agents are removed (see Solid mechanics. The most known form of viscosity in solid mechanics is creep. Strength of materials is the scientific area of applied mechanics for the study of the strength of engineering materials and their mechanical behaviour in general (such as stress, deformation, strain and stress-strain relations). www.brainyencyclopedia.com /encyclopedia/s/st/strength_of_materials.html   (762 words)

 Obituary: Rokuro Muki, UCLA Engineering Professor and Authority in the Field of Elasticity Muki is perhaps best known for his seminal work on elasticity, entitled “Asymmetric Problems of the Theory of Elasticity for a Semi-infinite Solid and a Thick Plate.” It appeared in the first volume of Progress in Solid Mechanics in 1960. Muki was a member of several professional societies, including the American Society of Mechanical Engineers, the Society of Industrial and Applied Mathematics, and the Society of the Sigma Xi; he was a fellow of the American Academy of Mechanics. Muki became a member of the faculty at the UCLA Henry Samueli School of Engineering and Applied Science in 1967, joining what was then called the Division of Applied Mechanics of the department of engineering. www.engineer.ucla.edu /stories/2004/muki.htm   (586 words)

 Young's modulus In solid mechanics, the Young's modulus or modulus of elasticity (and also elastic modulus) is a measure of the stiffness of a given material. The modulus of elasticity of a material can be used to calculate the force it exerts under a specific extension. The Young's modulus allows engineer s and other scientists to calculate the behavior of a material under load. www.serebella.com /encyclopedia/article-Young's_modulus.html   (586 words)

 Materials Science and Engineering Program Courses Mechanical Properties (4) Review of basic concepts in mechanics of deformation; elasticity, plasticity, viscoelasticity, and creep; effects of temperature and strain-rate on inelastic flow; microstructure and mechanical properties; application of basic concepts to selected advanced materials. Growth theories: interface migration, stress effects, terrace-ledge mechanisms, epitaxial growth, kinetics, and mechanics. Imperfections in Solids (4) Point, line, and planar defects in crystalline solids, including vacancies, self-interstitials, solute atoms, dislocations, stacking faults, and grain boundaries; effects of imperfections on mechanical properties; interactions of dislocations with point defects; strain hardening by micro-obstacles, precipitation, and alloying elements. www.ucsd.edu /catalog/courses/MATS.html   (991 words)

 Solid mechanics Typically, solid mechanics uses linear models to relate stresses and strains (see Linear elasticity). Solid mechanics extensively uses tensors to describe stresses, strains, and therelationship between them. P.C. Chou, N. Pagano, Elasticity: Tensor, Dyadic, and Engineering Approaches, Dover, ISBN 0486669580 www.therfcc.org /solid-mechanics-14935.html   (243 words)

 Publisher description for Library of Congress control number 87000574 This modern classic analyzes continuum models of fluid flow and solid deformation, examining problems in continuum mechanics, water waves, extremum principles and much more. Publisher description for Mathematics applied to continuum mechanics / by Lee A. Segel with additional material on elasticity by G.H. Handelman. Library of Congress subject headings for this publication: Continuum mechanics, Mathematics www.loc.gov /catdir/description/dover033/87000574.html   (102 words)

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