Elasto-Plastic and Damage Analysis of Plates and Shells

Elasto-Plastic and Damage Analysis of Plates and Shells PDF Author: George Z Voyiadjis
Publisher: Springer Science & Business Media
ISBN: 3540793518
Category : Technology & Engineering
Languages : en
Pages : 213

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Book Description
Shells and plates are critical structures in numerous engineering applications. Analysis and design of these structures is of continuing interest to the scienti c and engineering communities. Accurate and conservative assessments of the maximum load carried by a structure, as well as the equilibrium path in both the elastic and inelastic range, are of paramount importance to the engineer. The elastic behavior of shells has been closely investigated, mostly by means of the nite element method. Inelastic analysis however, especially accounting for damage effects, has received much less attention from researchers. In this book, we present a computational model for nite element, elasto-plastic, and damage analysis of thin and thick shells. Formulation of the model proceeds in several stages. First, we develop a theory for thick spherical shells, providing a set of shell constitutive equations. These equations incorporate the effects of transverse shear deformation, initial curvature, and radial stresses. The proposed shell equations are conveniently used in nite element analysis. 0 AsimpleC quadrilateral, doubly curved shell element is developed. By means of a quasi-conforming technique, shear and membrane locking are prevented. The element stiffness matrix is given explicitly, making the formulation computationally ef cient. We represent the elasto-plastic behavior of thick shells and plates by means of the non-layered model, using an Updated Lagrangian method to describe a small-strain geometric non-linearity. For the treatment of material non-linearities, we adopt an Iliushin’s yield function expressed in terms of stress resultants, with isotropic and kinematic hardening rules.

Elasto-Plastic and Damage Analysis of Plates and Shells

Elasto-Plastic and Damage Analysis of Plates and Shells PDF Author: George Z Voyiadjis
Publisher: Springer Science & Business Media
ISBN: 3540793518
Category : Technology & Engineering
Languages : en
Pages : 213

Get Book Here

Book Description
Shells and plates are critical structures in numerous engineering applications. Analysis and design of these structures is of continuing interest to the scienti c and engineering communities. Accurate and conservative assessments of the maximum load carried by a structure, as well as the equilibrium path in both the elastic and inelastic range, are of paramount importance to the engineer. The elastic behavior of shells has been closely investigated, mostly by means of the nite element method. Inelastic analysis however, especially accounting for damage effects, has received much less attention from researchers. In this book, we present a computational model for nite element, elasto-plastic, and damage analysis of thin and thick shells. Formulation of the model proceeds in several stages. First, we develop a theory for thick spherical shells, providing a set of shell constitutive equations. These equations incorporate the effects of transverse shear deformation, initial curvature, and radial stresses. The proposed shell equations are conveniently used in nite element analysis. 0 AsimpleC quadrilateral, doubly curved shell element is developed. By means of a quasi-conforming technique, shear and membrane locking are prevented. The element stiffness matrix is given explicitly, making the formulation computationally ef cient. We represent the elasto-plastic behavior of thick shells and plates by means of the non-layered model, using an Updated Lagrangian method to describe a small-strain geometric non-linearity. For the treatment of material non-linearities, we adopt an Iliushin’s yield function expressed in terms of stress resultants, with isotropic and kinematic hardening rules.

Thin Plates and Shells

Thin Plates and Shells PDF Author: Eduard Ventsel
Publisher: CRC Press
ISBN: 9780203908723
Category : Mathematics
Languages : en
Pages : 688

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Book Description
Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli

Elastic, Plastic and Yield Design of Reinforced Structures

Elastic, Plastic and Yield Design of Reinforced Structures PDF Author: Patrick De Buhan
Publisher: Elsevier
ISBN: 0081021135
Category : Technology & Engineering
Languages : en
Pages : 344

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Book Description
Elastic, Plastic and Yield Design of Reinforced Structures presents a whole set of new results which have been published by the authors over the last 30 years in the field of continuum solid mechanics applied to the analysis and design of reinforced civil engineering structures. The focus is on the development and application of up-scaling/homogenization methods in the design of such composite structures, with a special emphasis on the plastic behavior and ultimate strength of materials. The specificity of the book is highlighted by at least two completely innovative concepts which lie at the very heart of the book's originality: the elaboration of a fully comprehensive homogenization-based method for the design of reinforced structures (and not only materials), through the study of macroscopic behavior, and the development of a multiphase model for materials reinforced by linear inclusions, which considerably extends the range of applicability of the classical homogenization procedure. - Sums up almost thirty years of original research in the field of mechanics applied to the analysis and design of reinforced civil engineering structures - Focuses on the application of upscaling/homogenization methods to the design of civil engineering structures - Highlights the elaboration of a fully comprehensive homogenization-based method for the design of reinforced structures (and not only materials), through the concept of macroscopic behavior - Features development of a multiphase model for materials reinforced by linear inclusions, which considerably extends the range of applicability of the classical homogenization procedure.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 994

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Book Description


Theory of Plates and Shells

Theory of Plates and Shells PDF Author: Stephen Timoshenko
Publisher:
ISBN: 9780758184092
Category : Plates (Engineering)
Languages : en
Pages : 580

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Book Description


Buckling of Bars, Plates, and Shells

Buckling of Bars, Plates, and Shells PDF Author: Robert Millard Jones
Publisher: Bull Ridge Corporation
ISBN: 0978722302
Category : Buckling (Mechanics)
Languages : en
Pages : 850

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Book Description


Applied Mechanics of Solids

Applied Mechanics of Solids PDF Author: Allan F. Bower
Publisher: CRC Press
ISBN: 1439802483
Category : Science
Languages : en
Pages : 820

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Book Description
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Advances in Computational Plasticity

Advances in Computational Plasticity PDF Author: Eugenio Oñate
Publisher: Springer
ISBN: 3319608851
Category : Technology & Engineering
Languages : en
Pages : 443

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Book Description
This book brings together some 20 chapters on state-of-the-art research in the broad field of computational plasticity with applications in civil and mechanical engineering, metal forming processes, geomechanics, nonlinear structural analysis, composites, biomechanics and multi-scale analysis of materials, among others. The chapters are written by world leaders in the different fields of computational plasticity.

Impact Engineering

Impact Engineering PDF Author: Marcílio Alves
Publisher: CRC Press
ISBN: 1040145280
Category : Technology & Engineering
Languages : en
Pages : 460

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Book Description
This second edition of Impact Engineering covers the dynamic analysis of structures undergoing small to large displacements, linear and nonlinear elastic material behavior to viscoplasticity, and the range of features of structural impact analysis. Individuals, as well as various governing bodies are concerned about protection against natural hazards, crash-type accidents, and terrorism- commonly referred to as "impact"- implying a rapid loading process. The book discusses the physics involved in such impact situations and incorporates analytical considerations as well as techniques to obtain and interpret experimental data and relevant numerical techniques. It also includes a chapter on scaling which is a relevant aspect when studying impact on large structures. This book will be useful for advanced students and professionals in civil and mechanical engineering as well as for students and researchers in applied physics and other relevant disciplines.

Deterministic Chaos In One Dimensional Continuous Systems

Deterministic Chaos In One Dimensional Continuous Systems PDF Author: Jan Awrejcewicz
Publisher: World Scientific
ISBN: 9814719714
Category : Science
Languages : en
Pages : 577

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Book Description
This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.