Stresses In Layered Shells Of Revolution (developments In Civil Engineering) (english And Czech Edition)

Shell structures are key components in a very wide range of engineering enterprises. The theory of layered shells of revolution under the quasistatic action of loading and temperature is the subject of this book. The shells treated here are in general of an asymmetric sandwich structure. A linear theory is developed which allows for a transition to shells with less layers, that is two-layered and homogeneous structures. The first half of the book is concerned with orthotropic elastic shells. In particular, it includes the membrane theory of cylindrical, spherical and conical shells, and the bending theory of cylindrical shells, storage tanks and pressure-vessels. In each of the numerical examples considered, an attempt is made to map different regimes of structural behaviour. The second half of the book is devoted to viscoelastic shells. First the time-invariant hereditary theory is presented, describing the response of viscoelastic materials. According to the correspondence principle of this theory the actual viscoelastic shell may be replaced by a conjugate elastic one Content: Developments in Civil Engineering , Page 2 Front Matter , Page 3 Copyright , Page 4 Preface , Pages 11-12 Introduction , Pages 13-20 Notation employed , Pages 21-22 1 - Some terms , Pages 23-26 2 - General relationships of the theory of elastic orthotropic shells , Pages 27-38 3 - Specific concepts of the theory of layered shells , Pages 39-41 4 - Basic theory of sandwich shells , Pages 42-56 5 - On possible formulations of simplified theories. Some limit processes , Pages 57-59 6 - Introductory remarks and working hypotheses , Pages 61-63 7 - Cylindrical shells , Pages 64-100 8 - Spherical shells , Pages 101-112 9 - Conical shells , Pages 113-119 10 - Thermoelastic membrane stresses , Pages 120-124 11 - Applicability of the membrane theory , Pages 125-127 12 - Introductory remarks and basic assumptions , Pages 128-129 13 - Formulation and general solution of the problem , Pages 130-142 14 - Limit processes for other types of fundamental systems , Pages 143-146 15 - Derivatives of the members of fundamental systems , Pages 147-150 16 - On the possibility of separating the membrane and bending states of stress , Pages 151-157 17 - Generalized membrane state of stress , Pages 158-167 18 - Boundary disturbances in long shells , Pages 168-200 19 - Boundary disturbances in short shells , Pages 201-212 20 - Thermoelastic stresses in shells with temperature dependent moduli E = E ( T ), G = G ( T ) , Pages 213-221 21 - Introductory remarks and basic relations , Pages 223-228 22 - Formulation of the problem , Pages 229-231 23 - General solution of the problem , Pages 232-233 24 - Axisymmetric part of the solution , Pages 234-243 25 - Asymmetric part of the solution , Pages 244-267 26 - Final solution for the given shell , Page 268 27 - Introduction and notation , Pages 269-275 28 - Hereditary theory , Pages 276-318 29 - General formulation of the viscoelastic problem , Pages 319-326 30 - On the possibility of separating variables , Pages 327-333 31 - Elastic-viscoelastic analogy for homogeneous structures , Pages 334-368 32 - Constructions of layered structure , Pages 369-378 Introduction to Complementary chapters , Page 379 33 - Fourier series , Pages 380-394 34 - Simple rheological materials (bodies) , Pages 395-406 35 - Schwartz distribution theory , Pages 407-428 References , Pages 429-434 Author Index , Page 435 Subject Index , Pages 437-442 Shell structures are key components in a very wide range of engineering enterprises. The theory of layered shells of revolution under the quasistatic action of loading and temperature is the subject of this book. The shells treated here are in general of an asymmetric sandwich structure. A linear theory is developed which allows for a transition to shells with less layers, that is two-layered and homogeneous structures.The first half of the book is concerned with orthotropic elastic shells. In particular, it includes the membrane theory of cylindrical, spherical and conical shells, and the bending theory of cylindrical shells, storage tanks and pressure-vessels. In each of the numerical examples considered, an attempt is made to map different regimes of structural behaviour.The second half of the book is devoted to viscoelastic shells. First the time-invariant hereditary theory is presented, describing the response of viscoelastic materials. According to the correspondence principle of this theory the actual viscoelastic shell may be replaced by a conjugate elastic one. In this way many of the results from the first half of the book can be put to good use even for viscoelastic shells. The time-dependent material characteristics are taken into account by means of the time-temperature principle.In an appendix (Part VI), the mathematical prerequisites are presented. With viscoelasticity comes the need to employ further mathematical disciplines; integral equations and integral transformations are usually encountered. Here, instead, a different concept has been chosen, the distributional concept of Laurent Schwartz, which allows many problems to be tackled in a simple formal way. In discussing the distribution theory, a level accessible to a technical reader has been maintained.The book is intended as a textbook for students and teachers of structural and aeronautical engineering. The book will also appeal to a broad range of practising engineers working in areas of aeronautical, civil, and mechanical engineering, as well as to those working for firms dealing with shell structures.