Antiplane Elastic Systems. Vii. General Linear and Cylindrical Anisotrophy PDF Download
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Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
Contents: Boundary conditions for the complex stresses The form of the complex tresses at infinit Generalized plane deformation Complex stresses for generalized plane deformation Line force applied to an elastic half-plane Induced mappings for region exterior to an ellipse Elliptic cylindrical hole in infinite elastic space Determination of the complex stresses Elliptic hole un er hydrostatic pressure Unloaded elliptic cylindrical hole in a space nder stress Bending of cantilever by force at free end Center of flexure Timoshenko's stress function Flexure with elliptic or circular cross-section Cylindrical anisotropy The displacement in cylindrical anisotropy Lateral and end conditions Equations satisfied by the stress functions Circular tube under pressure Determination of the stresses Lame's problem of the tube under pressure.
Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
Contents: Boundary conditions for the complex stresses The form of the complex tresses at infinit Generalized plane deformation Complex stresses for generalized plane deformation Line force applied to an elastic half-plane Induced mappings for region exterior to an ellipse Elliptic cylindrical hole in infinite elastic space Determination of the complex stresses Elliptic hole un er hydrostatic pressure Unloaded elliptic cylindrical hole in a space nder stress Bending of cantilever by force at free end Center of flexure Timoshenko's stress function Flexure with elliptic or circular cross-section Cylindrical anisotropy The displacement in cylindrical anisotropy Lateral and end conditions Equations satisfied by the stress functions Circular tube under pressure Determination of the stresses Lame's problem of the tube under pressure.
Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Author: Louis M. Milne-Thomson
Publisher: Springer Science & Business Media
ISBN: 3642856276
Category : Mathematics
Languages : en
Pages : 274
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Book Description
The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.
Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Military art and science
Languages : en
Pages : 1540
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 174
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Author: United States. Army. Mathematics Research Center
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 242
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1722
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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 530
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 826
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Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0080922414
Category : Technology & Engineering
Languages : en
Pages : 553
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Approx.552 pages Approx.552 pages
