Some Remarks on Recent Developments in Shell Theory


Book Description

Some aspects of recent results in the general theory of elastic shells are discussed with particular reference to the development of the theory by direct approach. (Author).




Recent Developments in the Theory of Shells


Book Description

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.




Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids


Book Description

This special issue of ZAMP is published to honor Paul M. Naghdi for his contributions to mechanics over the last forty years and more. It is offered in celebration of his long, productive career in continuum mechan ics; a career which has been marked by a passion for the intrinsic beauty of the subject, an uncompromising adherence to academic standards, and an untiring devotion to our profession. Originally, this issue was planned in celebration of Naghdi's 70th birthday, which occurred on 29 March 1994. But, as the papers were being prepared for the press, it became evident that the illness from which Professor Naghdi had been suffering during recent months was extremely serious. On 26 May 1994, a reception took place in the Department of Mechanical Engineering at Berkeley, at which Naghdi received The Berkeley Citation (which is given in lieu of an honorary degree) and where he was also presented with the Table of Contents of the present collection. Subse quently, he had the opportunity to read the papers in manuscript form. He was very touched that his colleagues had chosen to honor him with their fine contributions. The knowledge that he was held in such high esteem by his fellow scientists brought a special pleasure and consolation to him in his last weeks. On Saturday evening, 9 July 1994, Paul Naghdi succumbed to the lung cancer which he had so courageously endured.




Recent Developments in Anisotropic Heterogeneous Shell Theory


Book Description

These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations. As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.







Recent Developments in Anisotropic Heterogeneous Shell Theory


Book Description

This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.







Some Remarks on the Linear Theory of Shells


Book Description

The method of asymptotic expansion of the threedimensional equations of linear elasticity is briefly reexamined, simplified and extended to dynamic problems. Moreover, via a new derivation of the bending equations of shells (called here shell equations), the results of two lines of attack are shown to be related. Other aspects of the subject dealt with include the reduction of shell equations to the simpler basic ingredients resulting from the asymptotic expressions, a procedure for the solution of static problems which may prove useful in some cases, and a discussion of boundary layer equations and edge effects.







Developments in Theoretical and Applied Mechanics


Book Description

Developments in Theoretical and Applied Mechanics, Volume 3 presents papers on the proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics held in Columbia, S. Carolina on March 31-April 1, 1966. The book covers papers in the areas of continuum mechanics, elasticity, plates and shells, applied mechanics, experimental mechanics, wave propagation, dynamics, vibrations, and fluid mechanics. Physical chemists and mechanical engineers will find the book invaluable.