A Variational Approach To Fracture And Other Inelastic Phenomena

Author : Gianpietro Del Piero
Publisher : Springer Science & Business Media
Page : 89 pages
File Size : 55,7 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 In the year and a half elapsed after the course, the material has been revised and enriched with new and partially unpublished results.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.

Author : Aldo Frediani,Bijan Mohammadi,Olivier Pironneau,Vittorio Cipolla
Publisher : Springer
Page : 535 pages
File Size : 47,5 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.

Author : Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 43,7 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.

Author : Daniel S. Balint,Stephane P.A. Bordas
Publisher : Academic Press
Page : 410 pages
File Size : 47,9 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

Author : Francesco dell'Isola,Giulio Maier,Umberto Perego,Ugo Andreaus,Raffaele Esposito,Samuel Forest
Publisher : Springer
Page : 813 pages
File Size : 54,7 Mb
Release : 2014-07-02
Category : Science
ISBN : 9783319002637

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The complete works of Gabrio Piola: Volume I by Francesco dell'Isola,Giulio Maier,Umberto Perego,Ugo Andreaus,Raffaele Esposito,Samuel Forest Pdf

Gabrio Piola works had an enormous impact on the development of applied mathematics and continuum mechanics. An excellent scientific committee who took it upon themselves to translate his complete works. In a second step, they commented Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and proofs that he has set milestones in applied mathematics. This book presents Piola's original Italian text together with ist translations and their comments. It shows impressively that Gabrio Piola’s work must still be regarded as a modern theory.

Author : Giuseppe Rega
Publisher : Springer Nature
Page : 505 pages
File Size : 53,5 Mb
Release : 2022-06-04
Category : Technology & Engineering
ISBN : 9783030941956

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50+ Years of AIMETA by Giuseppe Rega Pdf

The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.

Author : Magd Abdel Wahab
Publisher : Springer Nature
Page : 143 pages
File Size : 51,7 Mb
Release : 2023-04-19
Category : Technology & Engineering
ISBN : 9789819903733

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Proceedings of the 5th International Conference on Numerical Modelling in Engineering by Magd Abdel Wahab Pdf

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 5th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on August 23–24, 2022. The overall objective of the conference was to bring together international scientists and engineers in academia and industry from fields related to advanced numerical techniques, such as the finite element method (FEM), boundary element method (BEM), isogeometric analysis (IGA), and their applications to a wide range of engineering disciplines. This book addresses numerical simulations of various mechanical and materials engineering industrial applications such as aerospace applications, acoustic analysis, bio-mechanical applications, contact problems and wear, heat transfer analysis, vibration and dynamics, transient analysis, nonlinear analysis, composite materials, polymers, metal alloys, fracture mechanics, fatigue of materials, creep, mechanical behavior, micro-structure, phase transformation, and crystal plasticity. The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the numerical modeling in mechanical engineering topics.

Author : George Z Voyiadjis
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 54,9 Mb
Release : 2012-01-29
Category : Technology & Engineering
ISBN : 9783709104279

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Damage Mechanics and Micromechanics of Localized Fracture Phenomena in Inelastic Solids by George Z Voyiadjis Pdf

This book resulted from a series of lecture notes presented in CISM, Udine in July 7 -11, 2008. The papers inform about recent advances in continuum damage mechanics for both metals and metal matrix composites as well as the micromechanics of localization in inelastic solids. Also many of the different constitutive damage models that have recently appeared in the literature and the different approaches to this topic are presented, making them easily accessible to researchers and graduate students in civil engineering, mechanical engineering, engineering mechanics, aerospace engineering, and material science.

Author : Piotr Perzyna
Publisher : Springer
Page : 472 pages
File Size : 41,6 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125281

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Localization and Fracture Phenomena in Inelastic Solids by Piotr Perzyna Pdf

The book contains the discussion of some important aspects of localization and fracture phenomena in inelastic solids (single crystals, polycrystalline solids and geological materials). Physical and experimental foundations of crystal plasticity are given. Constitutive modelling of dissipative solids for description of localization and fracture is presented. Various regularization methods for solution of the initial-boundary value problems are outlined. Numerical solutions based on finite element method of practicular evolution problems with localization of plastic deformation are considered.

Author : Piotr Perzyna
Publisher : Unknown
Page : 480 pages
File Size : 46,6 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3709125294

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Localization and Fracture Phenomena in Inelastic Solids by Piotr Perzyna Pdf

Author : Leonid I. Slepyan
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 43,9 Mb
Release : 2012-11-07
Category : Technology & Engineering
ISBN : 9783540480105

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Models and Phenomena in Fracture Mechanics by Leonid I. Slepyan Pdf

Presenting the most important results, methods, and open questions, this book describes and compares advanced models in fracture mechanics. The author introduces the required mathematical technique, mainly the theory of analytical functions, from scratch.

Author : Davide Bigoni,Angelo Carini,Massimiliano Gei,Alberto Salvadori
Publisher : Springer Science & Business
Page : 264 pages
File Size : 42,6 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.

Author : George Z. Voyiadjis,Yooseob Song
Publisher : Elsevier
Page : 405 pages
File Size : 53,7 Mb
Release : 2020-03-27
Category : Technology & Engineering
ISBN : 9780128177679

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Gradient-Enhanced Continuum Plasticity by George Z. Voyiadjis,Yooseob Song Pdf

Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity Describes micromechanical aspects from experimental observations

Author : Antonio J.M. Ferreira,Ana M.A. Neves,Erasmo Viola,Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Page : 204 pages
File Size : 54,5 Mb
Release : 2016-05-20
Category : Technology & Engineering
ISBN : 9788874889631

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Mechcomp2 by Antonio J.M. Ferreira,Ana M.A. Neves,Erasmo Viola,Francesco Tornabene,Nicholas Fantuzzi Pdf

Composites materials have aroused a great interest over the last few decades. Several applications of fibrous composites, functionally graded materials, laminated composites, nano-structured reinforcements, morphing structures, can be found in many engineering fields, such as aerospace, mechanical, naval and civil engineering. The necessity of lightweight structures, smart and adaptive systems, high-level strength, have led both the academic research and the manufacturing development to a recurring employment of these materials. Many journal papers and technical notes have been published extensively over the last seventy years in international scientific journals of different engineering fields. For this reason, the establishment of this second edition of Mechanics of Composites International Conference has appeared appropriate to continue what has been begun during the first edition occurred in 2014 at Stony Brook University (USA). MECHCOMP wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures. As a proof of this event, which has taken place in Porto (Portugal), selected plenary and key-note lectures have been collected in the present book.

Author : Alphose Zingoni
Publisher : CRC Press
Page : 2223 pages
File Size : 55,6 Mb
Release : 2016-11-25
Category : Technology & Engineering
ISBN : 9781317280637

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Insights and Innovations in Structural Engineering, Mechanics and Computation by Alphose Zingoni Pdf

Insights and Innovations in Structural Engineering, Mechanics and Computation comprises 360 papers that were presented at the Sixth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016, Cape Town, South Africa, 5-7 September 2016). The papers reflect the broad scope of the SEMC conferences, and cover a wide range of engineering structures (buildings, bridges, towers, roofs, foundations, offshore structures, tunnels, dams, vessels, vehicles and machinery) and engineering materials (steel, aluminium, concrete, masonry, timber, glass, polymers, composites, laminates, smart materials).