Computational Methods for Nonlinear Dynamic Problems in Solid and Structural Mechanics: Progress in the Theory and Modeling of Contact and Friction PDF Download
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Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
This report summarizes results of research related to the theory and modeling of contact and friction on both rough dry surfaces and on lubricated surfaces. A summary of work on the quality of the numerical analysis of elastohydrodynamic lubrication problems is given. A complete mathematical foundation is established for these problems, new numerical methods are devised, adaptive finite elements schemes are constructed, and a variety of numerical solutions are obtained. A-priori estimates are derived, which are shown to give estimates of rates of convergence in agreement with numerical experiments. A summary of ongoing work and the development of new models of contact and friction on rough surfaces is given. A probabilistic model of rough dry surfaces is described, in which asperity heights are assumed to be randomly distributed over a surface. The effects of inter-molecular adhesion on contact friction are included. This approach allows one to focus on the problem of deformation of a typical asperity. In this work we assume the mechanical response of an asperity to be nonlinear viscoplastic, enabling one to model elastic, viscoelastic, plastic, and viscoplastic response as well as damage of rough surfaces in contact. Preliminary versions of these models are used to study the elasto-dynamic behavior and control of structural components subjected to frictional forces. Numerical results show that the models five excellent agreement with experimental data.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
This report summarizes results of research related to the theory and modeling of contact and friction on both rough dry surfaces and on lubricated surfaces. A summary of work on the quality of the numerical analysis of elastohydrodynamic lubrication problems is given. A complete mathematical foundation is established for these problems, new numerical methods are devised, adaptive finite elements schemes are constructed, and a variety of numerical solutions are obtained. A-priori estimates are derived, which are shown to give estimates of rates of convergence in agreement with numerical experiments. A summary of ongoing work and the development of new models of contact and friction on rough surfaces is given. A probabilistic model of rough dry surfaces is described, in which asperity heights are assumed to be randomly distributed over a surface. The effects of inter-molecular adhesion on contact friction are included. This approach allows one to focus on the problem of deformation of a typical asperity. In this work we assume the mechanical response of an asperity to be nonlinear viscoplastic, enabling one to model elastic, viscoelastic, plastic, and viscoplastic response as well as damage of rough surfaces in contact. Preliminary versions of these models are used to study the elasto-dynamic behavior and control of structural components subjected to frictional forces. Numerical results show that the models five excellent agreement with experimental data.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 405
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Book Description
This final report summarizes work on a three-year project devoted to dynamic friction and on control of systems with frictional forces. Detailed theoretical and numerical studies of static and dynamic friction and various phenomena of dynamic friction (stick-slip motion, self-excited oscillations, frictional damping, etc.) are described. Included in the report is also a study of methods of statistical homogenization, devised to develop new micromechanics-based models of contact and friction. The question of optimal control with distributed dynamical systems of viscoelastic bodies with frictional forces is also described. A final component of this study focuses on the mathematical and numerical analysis of elastohydrodynamic lubrication problems and is included in the final chapter. The studies presented in this report provide both a theoretical and numerical basis for modeling contact and friction. These models are shown to produce results in very good qualitative and quantitative agreement with experimental results. Keywords: Friction, Damping, Structural dynamics, Elastohydrodynamic lubrication. (MJM).
Author: Ahmed K. Noor
Publisher: Elsevier
ISBN: 1483145646
Category : Mathematics
Languages : en
Pages : 472
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Book Description
Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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Book Description
Nonclassical Friction Laws: In order to overcome mathematical and numerical difficulties inherent in classical friction laws when applied to contact problems in continuum mechanics and to apply more physically reasonable simulations of dry static contact on metallic surfaces, new nonclassical friction laws were derived and implemented in an analysis of a wide class of contact problems in elastostatics. A complete theory was developed including existence theorems, approximation theorems, error estimates, algorithms, and finite element computer codes. Quasi-Static Friction Problems: New variational principles were derived for numerical simulation cyclic loading of metallic bodies in contact on surfaces on which nonclassical friction laws were assumed to hold. Finite element methods were developed using these formulations and several numerical examples were studied. Plasticity Models of Friction: Two friction models of friction effects on metallic surfaces subjected to quasi-static load reversals were developed and implemented in finite element analyses. Thorough theoretical analysis of one of these was completed, and one formulation was sufficiently general to take into account large elastoplastic deformations. Dynamic Friction: A general variational principle for elastodynamic contact problems with friction was derived and used to develop new finite element methods for such problems. Error estimates and dynamic stability criteria were investigated. Extensions to problems with velocity-dependent friction coefficients were studied numerically.
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Category : Aeronautics
Languages : en
Pages : 968
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Category : Science
Languages : en
Pages : 566
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Category : Shock (Mechanics)
Languages : en
Pages : 212
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Author: I.S. Doltsinis
Publisher: Springer
ISBN: 3709128285
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.
Author: Advisory Committee on Technology and Society
Publisher: National Academies Press
ISBN: 9780309037860
Category : Social Science
Languages : en
Pages : 1298
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Book Description
Cities and Their Vital Systems asks basic questions about the longevity, utility, and nature of urban infrastructures; analyzes how they grow, interact, and change; and asks how, when, and at what cost they should be replaced. Among the topics discussed are problems arising from increasing air travel and airport congestion; the adequacy of water supplies and waste treatment; the impact of new technologies on construction; urban real estate values; and the field of "telematics," the combination of computers and telecommunications that makes money machines and national newspapers possible.
Author:
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Category : Mechanics, Applied
Languages : en
Pages : 400
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