The Variational Approach To Fracture

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The Variational Approach to Fracture

Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo
The Variational Approach to Fracture Book PDF

Author : Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 52,6 Mb
Release : 2008-04-19
Category : Technology & Engineering
ISBN : 9781402063954

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The Variational Approach to Fracture by Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo Pdf

Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

A Variational Approach to Fracture and Other Inelastic Phenomena

Gianpietro Del Piero
A Variational Approach to Fracture and Other Inelastic Phenomena Book PDF

Author : Gianpietro Del Piero
Publisher : Springer Science & Business Media
Page : 89 pages
File Size : 48,5 Mb
Release : 2013-08-30
Category : Science
ISBN : 9789400772267

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A Variational Approach to Fracture and Other Inelastic Phenomena by Gianpietro Del Piero Pdf

This book exposes a number of mathematical models for fracture of growing difficulty. All models are treated in a unified way, based on incremental energy minimization. They differ from each other by the assumptions made on the inelastic part of the total energy, here called the "cohesive energy". Each model describes a specific aspect of material response, and particular care is devoted to underline the correspondence of each model to the experiments. The content of the book is a re-elaboration of the lectures delivered at the First Sperlonga Summer School on Mechanics and Engineering Sciences in September 2011. In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results. Significant additions have been introduced in the occasion of the course "The variational approach to fracture and other inelastic phenomena", delivered at SISSA, Trieste, in March 2013. The Notes reflect a research line carried on by the writer over the years, addressed to a comprehensive description of the many aspects of the phenomenon of fracture, and to its relations with other phenomena, such as the formation of microstructure and the changes in the material’s strength induced by plasticity and damage. Reprinted from the Journal of Elasticity, volume 112, issue 1, 2013.

Fracture Phenomena in Nature and Technology

Davide Bigoni,Angelo Carini,Massimiliano Gei,Alberto Salvadori
Fracture Phenomena in Nature and Technology Book PDF

Author : Davide Bigoni,Angelo Carini,Massimiliano Gei,Alberto Salvadori
Publisher : Springer Science & Business
Page : 264 pages
File Size : 48,6 Mb
Release : 2014-04-29
Category : Technology & Engineering
ISBN : 9783319043975

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Fracture Phenomena in Nature and Technology by Davide Bigoni,Angelo Carini,Massimiliano Gei,Alberto Salvadori Pdf

This book contains contributions presented at the IUTAM Symposium "Fracture Phenomena in Nature and Technology" held in Brescia, Italy, 1-5 July, 2012.The objective of the Symposium was fracture research, interpreted broadly to include new engineering and structural mechanics treatments of damage development and crack growth and also large-scale failure processes as exemplified by earthquake or landslide failures, ice shelf break-up and hydraulic fracturing (natural or for resource extraction or CO2 sequestration), as well as small-scale rupture phenomena in materials physics including, e.g. inception of shear banding, void growth, adhesion and decohesion in contact and friction, crystal dislocation processes and atomic/electronic scale treatment of brittle crack tips and fundamental cohesive properties. Special emphasis was given to multiscale fracture description and new scale-bridging formulations capable to substantiate recent experiments and tailored to become the basis for innovative computational algorithms.

Advances in Computational Plasticity

Eugenio Oñate,Djordje Peric,Eduardo de Souza Neto,Michele Chiumenti
Advances in Computational Plasticity Book PDF

Author : Eugenio Oñate,Djordje Peric,Eduardo de Souza Neto,Michele Chiumenti
Publisher : Springer
Page : 434 pages
File Size : 47,8 Mb
Release : 2017-09-09
Category : Technology & Engineering
ISBN : 9783319608853

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Advances in Computational Plasticity by Eugenio Oñate,Djordje Peric,Eduardo de Souza Neto,Michele Chiumenti Pdf

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.

Proceedings of the 2nd International Conference on Structural Damage Modelling and Assessment

Magd Abdel Wahab
Proceedings of the 2nd International Conference on Structural Damage Modelling and Assessment Book PDF

Author : Magd Abdel Wahab
Publisher : Springer Nature
Page : 214 pages
File Size : 49,9 Mb
Release : 2021-12-04
Category : Technology & Engineering
ISBN : 9789811672163

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Proceedings of the 2nd International Conference on Structural Damage Modelling and Assessment by Magd Abdel Wahab Pdf

This book comprises the select proceedings from the 2nd International Conference on Structural Damage Modelling and Assessment (SDMA 2021) held in the city of Ghent, Belgium, on 4–5 August 2021. It discusses the recent advances in fields related to damage modelling, damage detection and assessment, non-destructive testing and evaluation, structure integrity and structural health monitoring. The conference covers all research topics and applications relevant to structural damage modelling and assessment using theoretical, numerical and experimental techniques. This book is useful to scientists and engineers in academia and industry who are interested in the field of structural damage and integrity for disaster risk reduction.

A computational multi-scale approach for brittle materials

Ernesti, Felix
A computational multi scale approach for brittle materials Book PDF

Author : Ernesti, Felix
Publisher : KIT Scientific Publishing
Page : 264 pages
File Size : 46,7 Mb
Release : 2023-04-17
Category : Technology & Engineering
ISBN : 9783731512851

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A computational multi-scale approach for brittle materials by Ernesti, Felix Pdf

Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Laura De Lorenzis,Alexander Düster
Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids Book PDF

Author : Laura De Lorenzis,Alexander Düster
Publisher : Springer Nature
Page : 225 pages
File Size : 46,5 Mb
Release : 2020-02-08
Category : Science
ISBN : 9783030375188

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Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids by Laura De Lorenzis,Alexander Düster Pdf

The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Variational Analysis and Aerospace Engineering

Aldo Frediani,Bijan Mohammadi,Olivier Pironneau,Vittorio Cipolla
Variational Analysis and Aerospace Engineering Book PDF

Author : Aldo Frediani,Bijan Mohammadi,Olivier Pironneau,Vittorio Cipolla
Publisher : Springer
Page : 535 pages
File Size : 40,9 Mb
Release : 2016-12-27
Category : Mathematics
ISBN : 9783319456805

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Variational Analysis and Aerospace Engineering by Aldo Frediani,Bijan Mohammadi,Olivier Pironneau,Vittorio Cipolla Pdf

This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.

The Material Point Method

Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas
The Material Point Method Book PDF

Author : Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas
Publisher : Springer Nature
Page : 475 pages
File Size : 54,8 Mb
Release : 2023-04-11
Category : Technology & Engineering
ISBN : 9783031240706

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The Material Point Method by Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas Pdf

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.

Variational Methods in the Mechanics of Solids

S. Nemat-Nasser
Variational Methods in the Mechanics of Solids Book PDF

Author : S. Nemat-Nasser
Publisher : Elsevier
Page : 429 pages
File Size : 55,8 Mb
Release : 2017-01-31
Category : Technology & Engineering
ISBN : 9781483145839

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Variational Methods in the Mechanics of Solids by S. Nemat-Nasser Pdf

Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.

Advances in Applied Mechanics

Daniel S. Balint,Stephane P.A. Bordas
Advances in Applied Mechanics Book PDF

Author : Daniel S. Balint,Stephane P.A. Bordas
Publisher : Academic Press
Page : 410 pages
File Size : 55,5 Mb
Release : 2020-10-23
Category : Science
ISBN : 9780128209905

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Advances in Applied Mechanics by Daniel S. Balint,Stephane P.A. Bordas Pdf

Advances in Applied Mechanics, Volume 53 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Phase field modelling of fracture, Advanced geometry representations and tools for microstructural and multiscale modelling, The material point method: the past and the future, From Experimental Modeling of Shotcrete to Large Scale Numerical Simulations of Tunneling, and Material point method after 25 years: theory, implementation, applications. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Applied Mechanics series

Mechanics of Advanced Materials

Vadim V. Silberschmidt,Valery P. Matveenko
Mechanics of Advanced Materials Book PDF

Author : Vadim V. Silberschmidt,Valery P. Matveenko
Publisher : Springer
Page : 199 pages
File Size : 49,9 Mb
Release : 2015-04-09
Category : Technology & Engineering
ISBN : 9783319171180

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Mechanics of Advanced Materials by Vadim V. Silberschmidt,Valery P. Matveenko Pdf

The book presents interesting examples of recent developments in this area. Among the studied materials are bulk metallic glasses, metamaterials, special composites, piezoelectric smart structures, nonwovens, etc. The last decades have seen a large extension of types of materials employed in various applications. In many cases these materials demonstrate mechanical properties and performance that vary significantly from those of their traditional counterparts. Such uniqueness is sought – or even specially manufactured – to meet increased requirements on modern components and structures related to their specific use. As a result, mechanical behaviors of these materials under different loading and environmental conditions are outside the boundaries of traditional mechanics of materials, presupposing development of new characterization techniques, theoretical descriptions and numerical tools. The book presents interesting examples of recent developments in this area. Among the studied materials are bulk metallic glasses, metamaterials, special composites, piezoelectric smart structures, nonwovens, etc.

A Mathematical Approach to Research Problems of Science and Technology

Ryuei Nishii,Shin-ichiro Ei,Miyuki Koiso,Hiroyuki Ochiai,Kanzo Okada,Shingo Saito,Tomoyuki Shirai
A Mathematical Approach to Research Problems of Science and Technology Book PDF

Author : Ryuei Nishii,Shin-ichiro Ei,Miyuki Koiso,Hiroyuki Ochiai,Kanzo Okada,Shingo Saito,Tomoyuki Shirai
Publisher : Springer
Page : 497 pages
File Size : 46,6 Mb
Release : 2014-07-14
Category : Technology & Engineering
ISBN : 9784431550600

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A Mathematical Approach to Research Problems of Science and Technology by Ryuei Nishii,Shin-ichiro Ei,Miyuki Koiso,Hiroyuki Ochiai,Kanzo Okada,Shingo Saito,Tomoyuki Shirai Pdf

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

Design and Modeling of Mechanical Systems—III

Mohamed Haddar,Fakher Chaari,Abdelmajid Benamara,Mnaouar Chouchane,Chafik Karra,Nizar Aifaoui
Design and Modeling of Mechanical Systems III Book PDF

Author : Mohamed Haddar,Fakher Chaari,Abdelmajid Benamara,Mnaouar Chouchane,Chafik Karra,Nizar Aifaoui
Publisher : Springer
Page : 1262 pages
File Size : 52,7 Mb
Release : 2017-11-25
Category : Technology & Engineering
ISBN : 9783319666976

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Design and Modeling of Mechanical Systems—III by Mohamed Haddar,Fakher Chaari,Abdelmajid Benamara,Mnaouar Chouchane,Chafik Karra,Nizar Aifaoui Pdf

This book offers a collection of original peer-reviewed contributions presented at the 7th International Congress on Design and Modeling of Mechanical Systems (CMSM’2017), held in Hammamet, Tunisia, from the 27th to the 29th of March 2017. It reports on both research findings, innovative industrial applications and case studies concerning mechanical systems and related to modeling and analysis of materials and structures, multiphysics methods, nonlinear dynamics, fluid structure interaction and vibroacoustics, design and manufacturing engineering. Continuing on the tradition of the previous editions, this proceedings offers a broad overview on the state-of-the art in the field and a useful resource for academic and industry specialists active in the field of design and modeling of mechanical systems. CMSM’2017 was jointly organized by two leading Tunisian research laboratories: the Mechanical, Modeling and Manufacturing Laboratory of the National Engineering School of Sfax and the Mechanical Engineering Laboratory of the National Engineering School of Monastir..

Variational Models and Methods in Solid and Fluid Mechanics

Francesco dell'Isola,Sergey Gavrilyuk
Variational Models and Methods in Solid and Fluid Mechanics Book PDF

Author : Francesco dell'Isola,Sergey Gavrilyuk
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 51,7 Mb
Release : 2012-01-15
Category : Technology & Engineering
ISBN : 9783709109830

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Variational Models and Methods in Solid and Fluid Mechanics by Francesco dell'Isola,Sergey Gavrilyuk Pdf

F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.