phase change in mechanics 13 lecture notes of the unione matematica italiana

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Phase Change In Mechanics

Author : Michel Frémond
ISBN : 9783642246098
Genre : Mathematics
File Size : 55. 84 MB
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Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Frattura Ed Integrit Strutturale Annals 2014

Author : Luca Susmel
ISBN : 9788895940496
Genre : Technology & Engineering
File Size : 76. 1 MB
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Virtual Work And Shape Change In Solid Mechanics

Author : Michel Frémond
ISBN : 9783319406824
Genre : Technology & Engineering
File Size : 28. 25 MB
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This book provides novel insights into two fundamental subjects in solid mechanics: virtual work and shape change. The author explains how the principle of virtual work represents a tool for analysis of the mechanical effects of the evolution of the shape of a system, how it can be applied to observations and experiments, and how it may be adapted to produce predictive theories of numerous phenomena. The book is divided into three parts. The first relates the principle of virtual work to what we observe with our eyes, the second demonstrates its flexibility on the basis of many examples, and the third applies the principle to predict the motion of solids with large deformations. Examples of both usual and unusual shape changes are presented, and equations of motion, some of which are entirely new, are derived for smooth and non-smooth motions associated with, for instance, systems of disks, systems of balls, classical and non-classical small deformation theories, systems involving volume and surface damage, systems with interactions at a distance (e.g., solids reinforced by fibers), systems involving porosity, collisions, and fracturing of solids.

Phase Separation Coupled With Damage Processes

Author : Christian Heinemann
ISBN : 9783658052522
Genre : Mathematics
File Size : 70. 54 MB
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The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The equations are derived in a thermodynamically consistent framework and suitable weak formulations for various types of this coupled system are presented. In the main part, existence of weak solutions is proven and degenerate limits are investigated.

Bollettino Della Unione Matematica Italiana

Author :
ISBN : UOM:39015053957182
Genre : Mathematics
File Size : 79. 67 MB
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Statistical Mechanics

Author : Giovanni Gallavotti
ISBN : 9783662039526
Genre : Science
File Size : 66. 88 MB
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This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.

Author : 国立国会図書館 (Japan)
ISBN : UCLA:L0088319785
Genre : Science
File Size : 35. 45 MB
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International Aerospace Abstracts

Author :
ISBN : STANFORD:36105007163657
Genre : Aeronautics
File Size : 20. 74 MB
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Mathematical Reviews

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ISBN : UOM:39015049327938
Genre : Mathematics
File Size : 38. 84 MB
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