Numerical Methods For Strong Nonlinearities In Mechanics

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Numerical Methods For Strong Nonlinearities In Mechanics

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Author : Jacques Besson
language : en
Publisher: John Wiley & Sons
Release Date : 2025-01-09

Numerical Methods For Strong Nonlinearities In Mechanics written by Jacques Besson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-09 with Mathematics categories.

Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable. This has two direct consequences: on the one hand, the mathematical characteristics of the problem deviate from wellestablished forms, requiring innovative discretization schemes; on the other hand, the low regularity makes it particularly difficult to solve the corresponding large-scale algebraic systems robustly and efficiently. In addition, neither the uniqueness, nor the existence of solutions, remain assured, resulting in bifurcation points, limit loads and structural instabilities, which are always tricky to overcome numerically.

Numerical Methods For Strong Nonlinearities In Mechanics

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Author : Jacques Besson
language : en
Publisher: John Wiley & Sons
Release Date : 2024-12-03

Numerical Methods For Strong Nonlinearities In Mechanics written by Jacques Besson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Mathematics categories.

Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable. This has two direct consequences: on the one hand, the mathematical characteristics of the problem deviate from wellestablished forms, requiring innovative discretization schemes; on the other hand, the low regularity makes it particularly difficult to solve the corresponding large-scale algebraic systems robustly and efficiently. In addition, neither the uniqueness, nor the existence of solutions, remain assured, resulting in bifurcation points, limit loads and structural instabilities, which are always tricky to overcome numerically.

Nonlinear Solid Mechanics

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Author : Adnan Ibrahimbegovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-02

Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-02 with Computers categories.

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

The Mechanics Of Jointed Structures

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Author : Matthew R.W. Brake
language : en
Publisher: Springer
Release Date : 2017-07-11

The Mechanics Of Jointed Structures written by Matthew R.W. Brake and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-11 with Science categories.

This book introduces the challenges inherent in jointed structures and guides researchers to the still-open, pressing challenges that need to be solved to advance this critical field. The authors cover multiple facets of interfacial mechanics that pertain to jointed structures: tribological modeling and measurements of the interface surfaces, constitutive modeling of joints, numerical reduction techniques for structures with joints, and uncertainty quantification and propagation for these structures. Thus, the key subspecialties addressed are model reduction for nonlinear systems, uncertainty quantification, constitutive modeling of joints, and measurements of interfacial mechanics properties (including tribology). The diverse contributions to this volume fill a much needed void in the literature and present to a new generation of joints researchers the potential challenges that they can engage in in order to advance the state of the art. Clearly defines internationally recognized challenges in joint mechanics/jointed structures and provides a comprehensive assessment of the state-of-the-art for joint modeling; Identifies open research questions facing joint mechanics; Details methodologies for accounting for uncertainties (due both to missing physics and variability) in joints; Explains and illustrates best-practices for measuring joints’ properties experimentally; Maximizes reader understanding of modeling joint dynamics with a comparison of multiple approaches.

Numerical Methods In Contact Mechanics

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Author : Vladislav A. Yastrebov
language : en
Publisher:
Release Date : 2013

Numerical Methods In Contact Mechanics written by Vladislav A. Yastrebov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Computational Mechanics And Applied Mathematics Perspectives From Young Scholars

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Author : Francesco Marmo
language : en
Publisher: Springer Nature
Release Date : 2025-03-27

Computational Mechanics And Applied Mathematics Perspectives From Young Scholars written by Francesco Marmo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-27 with Mathematics categories.

This book collects the latest advances and innovations in the field of applied mathematics and computational mechanics, as presented at the 2nd Workshop GIMC SIMAI YOUNG, held in Naples, Italy, on July 10–12, 2024. The workshop was the joint effort of Computational Mechanics Group of the Italian Association of Theoretical and Applied Mechanics -AIMETA (GIMC) and Italian Society of Applied and Industrial Mathematics (SIMAI) and was meant to highlight the works of young researchers in the field. Topics include mathematical models for socio-epidemiological dynamics, efficient numerical methods for evolutionary PDEs, multi-scale approaches and machine learning techniques in material modelling, nonlinear material behaviour, computational methods for shells and spatial structures, assessment, monitoring, and design of masonry structures, particles in numerical simulations, non-Newtonian complex fluids, mathematical modelling in mechanobiology and oncology, mechanics of biological systems and bioinspired materials, computational approaches for complex dynamical systems, optimization methods for classical and data-driven approaches. The contributions, which were selected by means of a rigorous peer-review process, present a wealth of exciting ideas that will open novel research directions and foster multidisciplinary collaboration.

Nonlinear Stochastic Mechanics

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Author : Nicola Bellomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Stochastic Mechanics written by Nicola Bellomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The Symposium, held in Torino (lSI, Villa Gualino) July 1-5, 1991 is the sixth of a series of IUTAM-Symposia on the application of stochastic analysis to continuum and discrete mechanics. The previous one, held in Innsbruck (1987), was mainly concentrated on qual itative and quantitative analysis of stochastic dynamical systems as well as on bifurcation and transition to chaos of deterministic systems. This Symposium concentrated on fundamental aspects (stochastic analysis and mathe matical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields as analysis of large systems, system identifica tion, earthquake prediction. Numerical methods suitable to provide quantitative results, say stochastic finite elements, approximation of probability distribution and direct integration of differential equations have also been the object of interesting presentations. Specific topics of the sessions have been: Engineering Applications, Equivalent Lineariza tion of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification, Stochastic Control. We are indebted to the IUTAM Bureau for having promoted and sponsored this Sympo sium and the Scientific Committee for having collaborated to the selection of participants and lecturers as well as to a prompt reviewing of the papers submitted for publication into these proceedings. A special thank is due to Frank Kozin: the organization of this meeting was for him ';ery important; he missed the meeting but his organizer ability was present.

Damage Mechanics In Metal Forming

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Author : Khemais Saanouni
language : en
Publisher: John Wiley & Sons
Release Date : 2013-02-04

Damage Mechanics In Metal Forming written by Khemais Saanouni and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-04 with Technology & Engineering categories.

The aim of this book is to summarize the current most effective methods for modeling, simulating, and optimizing metal forming processes, and to present the main features of new, innovative methods currently being developed which will no doubt be the industrial tools of tomorrow. It discusses damage (or defect) prediction in virtual metal forming, using advanced multiphysical and multiscale fully coupled constitutive equations. Theoretical formulation, numerical aspects as well as application to various sheet and bulk metal forming are presented in detail. Virtual metal forming is nowadays inescapable when looking to optimize numerically various metal forming processes in order to design advanced mechanical components. To do this, highly predictive constitutive equations accounting for the full coupling between various physical phenomena at various scales under large deformation including the ductile damage occurrence are required. In addition, fully 3D adaptive numerical methods related to time and space discretization are required in order to solve accurately the associated initial and boundary value problems. This book focuses on these two main and complementary aspects with application to a wide range of metal forming and machining processes. Contents 1. Elements of Continuum Mechanics and Thermodynamics. 2. Thermomechanically-Consistent Modeling of the Metals Behavior with Ductile Damage. 3. Numerical Methods for Solving Metal Forming Problems. 4. Application to Virtual Metal Forming.

Computational Methods For Nonlinear Dynamical Systems

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Author : Xuechuan Wang
language : en
Publisher: Elsevier
Release Date : 2022-09-28

Computational Methods For Nonlinear Dynamical Systems written by Xuechuan Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Technology & Engineering categories.

Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. - Presents global methods for solving periodic nonlinear dynamical behaviors - Gives local methods for solving transient nonlinear responses - Outlines computational methods for linear, nonlinear, ordinary and partial differential equations - Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions - Reveals practical applications of methods through orbital mechanics and structural dynamics

Chaotic Mechanics In Systems With Impacts And Friction

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Author : Barbara Blazejczyk-okolewska
language : en
Publisher: World Scientific
Release Date : 1999-06-17

Chaotic Mechanics In Systems With Impacts And Friction written by Barbara Blazejczyk-okolewska and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-17 with Technology & Engineering categories.

This book is devoted to the theory of chaotic oscillations in mechanical systems. Detailed descriptions of the basic types of nonlinearity — impacts and dry friction — are presented. The properties of such behavior are discussed, and the numerical and experimental results obtained by the authors are presented.The dynamic properties of systems described here can be useful in the proper design and use of mechanics where such behavior still creates problems.This book will be very useful for anyone with a fundamental knowledge of nonlinear mechanics who is beginning research in the field.