Download or read book Mechanistic Constitutive Models for Rubber Elasticity and Viscoelasticity written by Michael Anthony Puso and published by . This book was released on 1994 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanistic Constitutive Models for Rubber Elasticity and Viscoelasticity written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Physically based models which describe the finite strain behavior of vulcanized rubber are developed. Constitutive laws for elasticity and viscoelasticity are derived by integrating over orientation space the forces due to each individual polymer chain. A novel scheme is presented which effectively approximates these integrals in terms of strain and strain invariants. In addition, the details involving the implementation of such models into a quasi-static large strain finite element formulation are provided. In order to account for the finite extensibility of a molecular chain, Langevin statistics is used to model the chain response. The classical statistical model of rubber assumes that polymer chains interact only at the chemical crosslinks. It is shown that such model when fitted for uniaxial tension data cannot fit compression or equibiaxial data. A model which incorporates the entanglement interactions of surrounding chains, in addition to the finite extensibility of the chains, is shown to give better predictions than the classical model. The technique used for approximating the orientation space integral was applied to both the classical and entanglement models. A viscoelasticity model based on the force equilibration process as described by Doi and Edwards is developed. An assumed form for the transient force in the chain is postulated. The resulting stress tensor is composed of an elastic and a viscoelastic portion with the elastic stress given by the proposed entanglement model. In order to improve the simulation of experimental data, it was found necessary to include the effect of unattached or dangling polymer chains in the viscoelasticity model. The viscoelastic effect of such chains is the manifestation of a disengagement process. This disengagement model for unattached polymer chains motivated an empirical model which was very successful in simulating the experimental results considered.
Download or read book Mechanics and Thermomechanics of Rubberlike Solids written by Guiseppe Saccomandi and published by Springer Science & Business Media. This book was released on 2004-03-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.
Download or read book Constitutive Models for Rubber III written by J. Busfield and published by CRC Press. This book was released on 2003-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in the modelling of rubber are collated in this volume, including not only stress-strain behaviour and the use of the large strain finite element method for simulation, but also fatigue, fracture, filler reinforcement, dynamic properties and the effects of ageing.
Download or read book Constitutive Models for Rubber written by Al Dorfmann and published by CRC Press. This book was released on 1999-01-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to enable the experience accumulated by engineers and the research community in materials science, continuum mechanics and applied mathematics to be shared. In this way, the design and analysis of rubber components using the Finite Element Method should be enhanced.
Download or read book Constitutive Models for Rubber VI written by Gert Heinrich and published by CRC Press. This book was released on 2009-09-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in order to represent the material behaviour of filler-reinforced elastomers under realistic operating conditions are collected in this volume. Special topics are finite element simulations and methods, dynamic material properties, experimental characterization, lifetime prediction, friction, multiphysics and biomechanics, reinf
Download or read book Viscoelastic Structures written by Aleksey D. Drozdov and published by Academic Press. This book was released on 1998-02-09 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads. This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures. 1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes 1Includes numerous examples to demonstrate theory which have not been included in previous literature 1Employs one consistent, user-friendly method to study a number of technological processes 1Features unique approach to aging materials 1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Download or read book Constitutive Models for Rubber IX written by Bohdana Marvalova and published by CRC Press. This book was released on 2015-10-22 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique properties of rubber make it ideal for use in a wide variety of engineering applications such as tyres, engine mounts, shock absorbers, flexible joints and seals. Developing diverse elastomeric elements for various structures involves numerical simulations of their performance, which are based on reliable constitutive models of the mater
Download or read book The Physics of Rubber Elasticity written by L.R.G Treloar and published by Oxford University Press. This book was released on 2005-10-20 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a critical review of the equilibrium elastic properties of rubber, together with the kinetic-theory background. It is suitable for the non-specialist and the emphasis is on the physical reality embodied in the mathematical formulations. Polymer science had developed greatly since the second edition of this text in 1958, and the two main advances - the refinements of the network theory and associated thermodynamic analysis, and the development of thephenomenological or non-molecular approach to the subject - are both reflected in the structure of this third edition.
Download or read book Constitutive Models for Rubber VIII written by Nere Gil-Negrete and published by CRC Press. This book was released on 2013-06-03 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to their unique properties, rubber materials are found in multiple engineering applications such as tires, engine mounts, shock absorbers, flexible joints, seals, etc. Nevertheless, the complex nature of the behavior of such material makes it difficult to accurately model and predict the performance of these units. The challenge to correctly reproduce the observed characteristics of rubber elements necessitates detailed experimental investigations, development of accurate constitutive models, validation of techniques to identify material parameters and efficient numerical methods. Aspects regarding fatigue and damage in elastomers are not to be left aside, as they influence the durability of the products. State-of-the-art technology in terms of constitutive modeling, numerical implementation, damage and fatigue resistance are strongly represented in these Proceedings, along with insights into advanced elastomers to be used in novel applications. Topics included in this volume are: Ageing, Friction and abrasion, Adhesion, Swelling, Continuum mechanical models and numerical implementation, Hyperelasticity, Micro-mechanical approaches, Fracture and fatigue, Mullins effect, Strain induced crystallization, Thermal effects, Reinforcement and vulcanization, Design and applications, Smart elastomers. Constitutive Models for Rubber VIII is of interest not only for undergraduates, postgraduates, academics and researchers in the discipline, but also for all those design and development engineers in the industry.
Download or read book The Rational Spirit in Modern Continuum Mechanics written by Chi-Sing Man and published by Springer Science & Business Media. This book was released on 2006-01-19 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.
Download or read book Constitutive Models for Rubber IV written by Per-Erik Austrell and published by Routledge. This book was released on 2017-12-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique properties of elastomeric materials offer numerous advantages in many engineering applications. Elastomeric units are used as couplings or mountings between rigid components, for example in shock absorbers, vibration insulators, flexible joints, seals and suspensions, etc. However, the complicated nature of the behaviour of such material makes it difficult to accurately predict the performance of these units using finite element modelling, for example. It is imperative that constitutive models accurately capture relevant aspects of mechanical behaviour. The latest developments concerning constitutive modelling of rubber is collected in these Proceedings. Topics included in this volume are, Hyperelastic models, Strength, fracture & fatigue, Dynamic properties & the Fletcher-Gent effect, Micro-mechanical & statistical approaches, Stress softening, iscoelasticity, Filler reinforcement, and Tyres, fibre & cord reinforced rubber.
Download or read book The Physics of Deformation and Fracture of Polymers written by A. S. Argon and published by Cambridge University Press. This book was released on 2013-03-07 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: A physical, mechanism-based presentation of the plasticity and fracture of polymers, covering industrial scale applications through to nanoscale biofluidic devices.
Download or read book Continuum Mechanics written by Ellis H. Dill and published by CRC Press. This book was released on 2006-11-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.
Download or read book Constitutive Models for Rubber VII written by Stephen Jerrams and published by CRC Press. This book was released on 2011-09-09 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: All aspects of our lives, industry, health, travel and leisure, are utterly reliant on rubber materials, yet typically this notion rarely occurs to us. Increasingly, greater demands are made on elastomeric compounds and we seek elevated performance in terms of improved physical and chemical properties. In particular, we have come to expect rubber components (tyres, vibration isolators, seals etc) to exhibit exceptional wear and fatigue resistance, often at elevated temperatures. Unsurprisingly then, the emphasis in characterising isochoric materials has shifted significantly away from understanding and modelling hyperelastic material behaviour, to a position where we can confi dently design and manufacture rubber components having the functionality and resilience to meet the dynamic loading and harsh environmental conditions that are prevalent today. In consequence, state-of-the-art technology in terms of dynamic response and fatigue resistance are strongly represented here along with numerous insights into advanced elastomers used in novel applications. This development is not at the expense of research devoted to current test procedures and the constitutive equations and algorithms that underpin finite element methods. As a result, Constitutive Models for Rubber VII is not only essential reading for undergraduates, postgraduates, academics and researchers working in the discipline, but also for all those designers and engineers involved in the improvement of machines and devices by introducing new and novel elastomers possessing elevated properties.
Download or read book Advances in Elastomers and Rubber Elasticity written by Joginder Lal and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is a sequel to "Elastomers and Rubber Elasticity," edited by J.E. Mark and J. Lal and published by the American Chemical Society in 1982. It is also based on papers presented at an ACS Symposium, sponsored by the Division of Polymer Chemistry, Inc., in this case one held in Chicago in September of 1985. The keynote speaker was to have been Pro fessor Paul J. Flory, and his untimely death just prior to the symposium was a tremendous loss to all of polymer science, in particular to those in terested in elastomeric materials. It is to his memory that this book is dedicated. There has been a great deal of progress in preparing and studying elas tomers since the preceding symposium, which was in 1981. In the case of the synthesis and curing of elastomers, much of the background necessary to an appreciation of these advances is given in the first, introductory chapter.
Download or read book Polymer Viscoelasticity written by Y.-H. Lin and published by World Scientific. This book was released on 2011 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers in great detail the Rouse-segment-based molecular theories in polymer viscoelasticity ? the Rouse theory and the extended reptation theory (based on the framework of the Doi?Edwards theory) ? that have been shown to explain experimental results in a consistently quantitative way. The explanation for the 3.4 power law of viscosity, quantitative line-shape analyses of viscoelastic responses and agreements between different sorts of viscoelastic responses, the consistency between the viscoelasticity and diffusion results, the clarification of the onset of entangelement, the discovery of the number of entanglement strands per cubed entanglement distance being a universal constant and the basic mechanism of the glass transition-related thermorheological complexity are discussed or shown in great detail. The mystery behind the success of the Rouse-segment-based molecular theories over the entropic region of a viscoelastic response is revealed by the Monte Carlo simulations on the Fraenkel chains. Specifically, the simulation studies give a natural explanation for the coexistence of the energy-driven and entropy-driven modes in a viscoelastic response and provide a theoretical basis resolving the paradox that the experimentally determined sizes of Rouse and Kuhn segments are nearly the same. This book starts from a very fundamental level; each chapter is built upon the contents of the previous chapters. Thus, the readers may use the book as a textbook and eventually reach an advanced research level. This book is also a useful source of reference for physicists, chemists and material scientists.
