Computational Inelasticity

Computational Inelasticity PDF Author: J.C. Simo
Publisher: Springer Science & Business Media
ISBN: 0387227636
Category : Computers
Languages : en
Pages : 405

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Book Description
A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Computational Inelasticity

Computational Inelasticity PDF Author: J.C. Simo
Publisher: Springer Science & Business Media
ISBN: 0387227636
Category : Computers
Languages : en
Pages : 405

Get Book Here

Book Description
A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Inelastic Analysis of Solids and Structures

Inelastic Analysis of Solids and Structures PDF Author: M. Kojic
Publisher: Springer Science & Business Media
ISBN: 3540265074
Category : Science
Languages : en
Pages : 419

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Book Description
Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of the models in typical engineering conditions. The book describes experimental observations and principles of mechanics, and efficient computational algorithms for stress calculations as typically performed in finite element analysis. The theoretical background is given to an extent necessary to describe the commonly employed material models in metal isotropic and orthotropic plasticity, thermoplasticity and viscoplasticity, and the plasticity of geological materials. The computational algorithms are developed in a unified manner with some detailed derivations of the algorithmic relations. Many solved examples are presented, which are designed to give insight into the material behavior in various engineering conditions, and to demonstrate the application of the computational algorithms.

Inelasticity Of Materials: An Engineering Approach And A Practical Guide

Inelasticity Of Materials: An Engineering Approach And A Practical Guide PDF Author: Arun R Srinivasa
Publisher: World Scientific Publishing Company
ISBN: 9813107391
Category : Technology & Engineering
Languages : en
Pages : 569

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Book Description
With the advent of a host of new materials ranging from shape memory alloys to biomaterials to multiphase alloys, acquiring the capacity to model inelastic behavior and to choose the right model in a commercial analysis software has become a pressing need for practicing engineers. Even with the traditional materials, there is a continued emphasis on optimizing and extending their full range of capability in the applications. This textbook builds upon the existing knowledge of elasticity and thermodynamics, and allows the reader to gain confidence in extending one's skills in understanding and analyzing problems in inelasticity. By reading this textbook and working through the assigned exercises, the reader will gain a level of comfort and competence in developing and using inelasticity models. Thus, the book serves as a valuable book for practicing engineers and senior-level undergraduate/graduate-level students in the mechanical, civil, aeronautical, metallurgical and other disciplines.The book is written in three parts. Part 1 is primarily focused on lumped parameter models and simple structural elements such as trusses and beams. This is suitable for an advanced undergraduate class with just a strength of materials background. Part II is focused on small deformation multi-dimensional inelasticity and is suitable for a beginning graduate class. Sufficient material is included on how to numerically implement an inelastic model and solve either using a simple stress function type of approach or using commercial software. Case studies are included as examples. There is also an extensive discussion of thermodynamics in the context of small deformations. Part III focuses on more advanced situations such as finite deformation inelasticity, thermodynamical ideas and crystal plasticity. More advanced case studies are included in this part.• This textbook takes a new, task- or scenario-based approach to teaching and learning inelasticity. The book is written in an active learning style that appeals to engineers and students who wish to design or analyze structures and components that are subject to inelasticity.• The book incorporates thermodynamical considerations into the modeling right from an early stage. Extensive discussions are provided throughout the book on the thermodynamical underpinnings of the models.• This textbook is the first to make extensive use of MATLAB to implement many inelasticity models. It includes the use of concepts such as Airy stress functions to solve plane problems for inelastic materials. The MATLAB codes are listed in the appendix for one to modify with their own models and requirements.• Step-by-step procedures for formulations and calculations are provided for the reader to readily adapt to the inelastic problems that he or she attempts to solve.• A large number of problems, exercises and projects for one to teach or learn from are included. These can be assigned as homework, in-class exercises or projects.• The book is written in a modular fashion, which provides adequate flexibility for adaptation in classes that cater to different audiences such as senior-level students, graduate students, research scholars, and practicing engineers.

Introduction To Computational Earthquake Engineering (Third Edition)

Introduction To Computational Earthquake Engineering (Third Edition) PDF Author: Muneo Hori
Publisher: World Scientific
ISBN: 178634453X
Category : Technology & Engineering
Languages : en
Pages : 452

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Book Description
This book provides rigorous foundations of applying modern computational mechanics to earthquake engineering. The scope covers the numerical analysis of earthquake wave propagation processes and the faulting processes, and also presents the most advanced numerical simulations of earthquake hazards and disasters that can take place in an urban area.Two new chapters included are advanced topics on high performance computing and for constructing an analysis model.This is the first book in earthquake engineering that explains the application of modern numerical computation (which includes high performance computing) to various engineering seismology problems.

Introduction to Computational Earthquake Engineering

Introduction to Computational Earthquake Engineering PDF Author: Muneo Hori
Publisher: World Scientific
ISBN: 1848163991
Category : Computers
Languages : en
Pages : 438

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Book Description
Introduction to Computational Earthquake Engineering covers solid continuum mechanics, finite element method and stochastic modeling comprehensively, with the second and third chapters explaining the numerical simulation of strong ground motion and faulting, respectively. Stochastic modeling is used for uncertain underground structures, and advanced analytical methods for linear and non-linear stochastic models are presented. The verification of these methods by comparing the simulation results with observed data is then presented, and examples of numerical simulations which apply these methods to practical problems are generously provided. Furthermore three advanced topics of computational earthquake engineering are covered, detailing examples of applying computational science technology to earthquake engineering problems.

Computational Contact Mechanics

Computational Contact Mechanics PDF Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 354032609X
Category : Technology & Engineering
Languages : en
Pages : 521

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Book Description
This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields. These include civil engineering, car design, aeronautics, metal forming, or biomechanics. For this second edition, illustrative simplified examples and new discretisation schemes and adaptive procedures for coupled problems are added. This book is at the cutting edge of an area of significant and growing interest in computational mechanics.

Inelastic Analysis of Structures

Inelastic Analysis of Structures PDF Author: Milan Jirasek
Publisher: John Wiley & Sons
ISBN: 9780471987161
Category : Technology & Engineering
Languages : en
Pages : 770

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Book Description
Hat ein Werkstoff seine Elastizitatsgrenze erreicht, so verhalt er sich inelastisch. Ingenieure und Designer mussen wissen, mit welchen Eigenschaften dann zu rechnen ist. Dieser Band vermittelt Ihnen den aktuellen Wissensstand auf dem Gebiet des plastischen Verhaltens und der plastischen Zug-Spannungs-Beziehungen. Behandelt werden in erster Linie Baustoffe, vor allem Stahl, aber auch Beton und Boden. Eine ausgewogene Mischung aus qualitativer Diskussion und mathematischer Theorie! (05/00)

IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains

IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains PDF Author: Christian Miehe
Publisher: Springer Science & Business Media
ISBN: 9401702977
Category : Technology & Engineering
Languages : en
Pages : 487

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Book Description
The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.

Recent Developments and Innovative Applications in Computational Mechanics

Recent Developments and Innovative Applications in Computational Mechanics PDF Author: Dana Mueller-Hoeppe
Publisher: Springer Science & Business Media
ISBN: 3642174841
Category : Technology & Engineering
Languages : en
Pages : 349

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Book Description
This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 60th birthday. It contains contributions from friends and collaborators as well as current and former PhD students from almost all continents. As a very diverse group of people, the authors cover a wide range of topics from fundamental research to industrial applications: contact mechanics, finite element technology, micromechanics, multiscale approaches, particle methods, isogeometric analysis, stochastic methods and further research interests. In summary, the volume presents an overview of the international state of the art in computational mechanics, both in academia and industry.

The Catalogue of Computational Material Models

The Catalogue of Computational Material Models PDF Author: Paul Steinmann
Publisher: Springer Nature
ISBN: 3030636844
Category : Science
Languages : en
Pages : 402

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Book Description
This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.