Theory of Elasticity of an Anisotropic Body PDF Download

Author: Sergeĭ Georgievich Lekhnit͡skiĭ
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 440

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Author: Thomas Chi-tsai Ting
Publisher: Oxford University Press, USA
ISBN: 0195074475
Category : Mathematics
Languages : en
Pages : 591

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Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.

Author: Sergeĭ Aleksandrovich Ambart͡sumi͡an
Publisher:
ISBN:
Category : Anisotropy
Languages : en
Pages : 426

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Author: Chyanbin Hwu
Publisher: Springer Science & Business Media
ISBN: 1441959149
Category : Technology & Engineering
Languages : en
Pages : 678

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As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.

Author: Sergei Georgievich Lekhnitskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 404

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Author: Martin H. Sadd
Publisher: Elsevier
ISBN: 008047747X
Category : Technology & Engineering
Languages : en
Pages : 474

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Book Description
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Author: Julian J. Wu
Publisher: SIAM
ISBN: 9780898712896
Category : Science
Languages : en
Pages : 394

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Book Description
A selection of 26 original papers, some of them substantially revised after the workshop, discuss anisotropic elasticity and its applications in solid mechanics and applied mathematics. Considering elastostatics, elastodynamics, and constitutive relations, they discuss such topics as Green's functio

Author: T.S. Vashakmadze
Publisher: Springer Science & Business Media
ISBN: 9401734798
Category : Science
Languages : en
Pages : 256

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The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied.

Author: Bernard Amadei
Publisher: Springer Science & Business Media
ISBN: 3642820409
Category : Technology & Engineering
Languages : en
Pages : 498

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Any undisturbed rock mass is subject to natural stresses inclu ding gravitational stresses due to the mass of the overburden and possibly tectonic stresses due to the straining of the earth's crust and remanent stresses due to past tectonism. Knowledge of the in situ stress field must be integrated into any rock engineering design along with general rock mass characteristics such as de for mability, strength, permeability and time dependent behavior. For example, the choice of optimum orientation and shape of deep underground caverns or complex underground works will be controlled by the orientation and the magnitude of the in situ stress @ield if it is necessary to minimize stress concentration problems. Long term variation of the in situ stress field may also help to evaluate the potential hazard of earthquake occurences. The magnitude and orientation of the stress field ata point within a rock mass can be measured but there is no known method by which the state of stress at a point can be accurately determined by instruments located remotely. In general, measurements are made inside boreholes, on outcrops or on the internal surfaces of under ground cavities. Most of the measuring techniques intentionally disturb the state of stress in the rock and then measure consequent strains and displacements. Measured strains or displacements are then related to the stresses through assumptions of material behavior. A common procedure is to assume that the rock mass is linearly elastic, isotropic, continuous and homogeneous.

Author: Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n
Publisher:
ISBN:
Category : Anisotropy
Languages : en
Pages : 266

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