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Mathematics | Phase Change in Mechanics

Phase Change in Mechanics

Frémond, Michel

2012, XIII, 303p. 66 illus., 36 illus. in color.

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  • Thermomechanical predictive theories of phase change are improved by a renewed principle of virtual power
  • Coupling of volume damage and of surface adhesion are highly innovative for civil and mechanical engineering
  • A novel theory of macroscopic clouds evolution innovates in fluid mechanics
  • Mechanical and thermal effects of collisions, involving phase change are accurately and comprehensively predicted

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.

Content Level » Research

Keywords » 74N25; 74R20; 74M15; 74M20; 80A17; 86A10; 70F35; 76A02; 35Q35 - adhesion - clouds - damage - phase change - principle of virtual power

Related subjects » Atmospheric Sciences - Condensed Matter Physics - Mathematics - Mechanics - Pollution and Remediation - Structural Materials

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