Standard Dissipative Systems and Stability Analysis; O. A 3D-numerical Thermomechanical Approach for Materials Cutting; P. When impact loading conditions are considered, thermal effects are significant and can lead to adiabatic shear banding. The book develops a cross-disciplinary approach to the phenomenon of linear and nonlinear wave propagation in piezoelectric crystals. .
Adiabatic Shear Banding as an Example of Viscoplastic Flow Instability; A. The simultaneous analysis of the nature and evolution of acceleration and harmonic waves has revealed a clear distinction between flutter instability and flutter ill-posedness. Double Diffusive Aspects of the Convection in Moist-saturated Air; P. Enriched Damage Models for Continuum Failure Analyses; G. Er befasste sich mit Kontinuumsmechanik, unter anderem relativistische Kontinuumsmechanik, Mikromagnetismus, Elektrodynamik der Kontinua, Thermomechanik, Oberflächenwellen und nichtlineare Wellen in Kontinua, Gitterdynamik, Materialgleichungen und biomechanischen Anwendungen Wachstum Gewebe. The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. C 2001 Published by Elsevier Science B.
The fibres, for instance long textile fibres, apply non-local actions. Wikipedia® ist eine eingetragene Marke der Wikimedia Foundation Inc. Equations of fluid mixtures are used in order to derive a set of equations governing the motion of a moist, viscous and heat conducting, saturated air in presence of gravity. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. At very high rates of straining, inertia effects have an increasing influence and can produce multiple shear banding.
This unique volume presents an original approach to physical acoustics with additional emphasis on the most useful surface acoustic waves on solids. Double Diffusive Aspects of the Convection in Moist-saturated Air; P. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. Thermo-mechanical Modelling of Nematic Polymers; D. Analogies with other types of plastic instabilities will be occasionally discussed. Second gradient Theory: Application to Cahn-Hilliard Fluids; P.
At the other extreme, full-field simulations provide detailed local fields, in addition to the composite effective response, but come at a high cost when used in nested Finite Element Methods. On the Thermomechanical Modelling of Shape Memory Alloys; C. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. A short final section is devoted to the discussion of thermodynamic inequalities and their consequences. This book concentrates on the mathematical theory of plasticity and fracture, and presents it in a thermomechanical framework. For easiness in presentation, a few most influential centres are highlighted in this chapter. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc.
This includes both the case of additional degrees of freedom carrying their own inertia and the case of diffusive internal variables of state. The E-mail message field is required. This is the case of mechanical engineering with the American Society of Mechanical Engineers. The Application of the Irreversible Thermodynamics to the Development of Constitutive Equations; J. The model is three-dimensional and micromechanically motivated in its essential ingredients. Thermo-mechanical Modelling of Nematic Polymers; D. Thermodynamics and Duality in Finite Elastoplasticity; F.
This so called microbuckling depends strongly on the coupling of the fibre initial geometric imperfection with the resin non-linear shear behaviour. Each of these is most representative of identified avenues of research: advanced strength of materials, mathematics applied to problems of engineering, tremendous and contagious developments in the theory of plasticity, and accurate dynamical theory of structural elements e. Constitutive Relations Involving Internal Variables Based on a Micromechanical Analysis; J. Constitutive Relations Involving Internal Variables Based on a Micromechanical Analysis; J. Our aim is to improve the macroscopic description of the wetting property. Application of the Theory of Cosserat Media to the Elasto-plastic Behaviour of Polycrystals; M.
The first example is devoted to microscopic motions which modify the macroscopic properties of materials. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. We illustrate the principal features of second gradient theory with the example of Cahn-Hilliard fluids. In their 1909 publication Th orie des corps d formables , Eug ne and Fran ois Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. A Selection of Scientific Works and Publications by Paul Germain. Strong individual personalities could emerge including in former Yugoslavia and Romania. Material Evolution in Plasticity and Growth; M.
On Viscous Fluid Flow Near a Moving Crack; H. The Application of the Irreversible Thermodynamics to the Development of Constitutive Equations; J. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. From these equations, a model is constructed to exhibit the double diffusive behaviour of this system. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics. This type of motion, Newtonian or not, depends on the wave motion considered, and on the original modeling of the continuum that supp.
Of great importance is the innovative and enduring influence that a well-organized professional society may have on the development of a science. In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. Thermoeleasticity of Second-grade Media; S. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. A New Method of Optimisation for Composite Structures; G. A three-dimensional example is shown when simulating the oblique cutting.