Theory Of Anisotropic Plates
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| Author | : Lenser A Aghalovyan |
| Publisher | : World Scientific |
| Total Pages | : 377 |
| Release | : 2015-03-03 |
| Genre | : Technology & Engineering |
| ISBN | : 9814579041 |
A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.
| Author | : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n |
| Publisher | : |
| Total Pages | : 266 |
| Release | : 1970 |
| Genre | : Anisotropy |
| ISBN | : |
| Author | : Chyanbin Hwu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 678 |
| Release | : 2010-08-09 |
| Genre | : Technology & Engineering |
| ISBN | : 1441959157 |
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 | : JamesM. Whitney |
| Publisher | : Routledge |
| Total Pages | : 356 |
| Release | : 2018-03-29 |
| Genre | : Technology & Engineering |
| ISBN | : 1351413279 |
A major basic text on the theory and structural applications of laminated anisotropic plates. Detailed coverage of problems of bending under transverse load, stability, and free-vibrations, as well as laminated beams, expansional strain effects, curved plates, and free-edge effects.
| Author | : Kaza Vijayakumar |
| Publisher | : Springer Nature |
| Total Pages | : 149 |
| Release | : 2021-01-25 |
| Genre | : Technology & Engineering |
| ISBN | : 9813342102 |
This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
| Author | : Chyanbin Hwu |
| Publisher | : Springer Nature |
| Total Pages | : 913 |
| Release | : 2021-04-27 |
| Genre | : Science |
| ISBN | : 303066676X |
This book provides the theory of anisotropic elasticity with the computer program for analytical solutions as well as boundary element methods. It covers the elastic analysis of two-dimensional, plate bending, coupled stretching-bending, and three-dimensional deformations, and is extended to the piezoelectric, piezomagnetic, magnetic-electro-elastic, viscoelastic materials, and the ones under thermal environment. The analytical solutions include the solutions for infinite space, half-space, bi-materials, wedges, interface corners, holes, cracks, inclusions, and contact problems. The boundary element solutions include BEMs for two-dimensional anisotropic elastic, piezoelectric, magnetic-electro-elastic, viscoelastic analyses, and their associated dynamic analyses, as well as coupled stretching-bending analysis, contact analysis, and three-dimensional analysis. This book also provides source codes and examples for all the presenting analytical solutions and boundary element methods. The program is named as AEPH (Anisotropic Elastic Plates – Hwu), which contains 204 MATLAB functions.
| Author | : Raymond David Mindlin |
| Publisher | : World Scientific |
| Total Pages | : 211 |
| Release | : 2006 |
| Genre | : Technology & Engineering |
| ISBN | : 9812772499 |
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.
| Author | : Thomas Chi-tsai Ting |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 591 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0195074475 |
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 | : |
| Total Pages | : 426 |
| Release | : 1964 |
| Genre | : Anisotropy |
| ISBN | : |
| Author | : Holm Altenbach |
| Publisher | : Springer Nature |
| Total Pages | : 504 |
| Release | : 2020-06-03 |
| Genre | : Science |
| ISBN | : 3030474917 |
This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
