Continuous Media with Microstructure

This book is a collection of papers dedicated to Professor Dr. Krzysztof Wilman ´ski onthe occasionof his 70thbirthday. The bookcontains25 cont- butions of his friends and colleagues. He met the invited authors at di?erent stagesofhisscienti?ccareerofalmost50yearssothatthecontributionscover a wide range of ?elds stemming from continuum mechanics. This happened at numerous universities and research institutes where he both taught and did his excellent research work, e. g. - the University of Lod ´ ´ z, Poland, where he studied Civil Engineering and did his diploma work onElastic-plastic thermal stresses in a thin ring and where he graduated with his PhD-work in the ?eld of Continuous Models of Discrete Systems, - theInstituteofFundamentalTechnologicalResearchofthePolishAcademy of Sciences in Warsaw, where he got his habilitation in the ?eld Non- cal Continuum Mechanics and where he was the head of the Research Group Continuum Thermodynamics. He collaborated with W. Fiszdon, L. Turski, Cz. Wozniak, H. Zorski and others on the topics axiomatic and kinetic foundations of continuumthermodynamics, theory of mixtures, phase transformations in solids, - theJohnsHopkinsUniversityinBaltimore, US, wherehe workedtogether, e. g. with C. Truesdell, J. Ericksen and W. Williams, on axiomatic and kinetic foundations of continuum thermodynamics, - the College of Engineering, University of Baghdad, Iraq, where he was a Visiting Professor and taught many courses, - theUniversityofPaderbornandtheTechnicalUniversityBerlin, Germany, wherehe had an Alexander von Humboldt Stipend andcontractsasa V- iting Professor (works on a model of crystallizing polymers, on a nonlocal thermodynamicmodelofplasmasandelectrolytesandonmartensiticphase transformations), - the Wissenschaftskolleg zu Berlin (Institute for Advanced Studies), G- many, whereheworkedtogetherwithe. g. I.

The contributions to the book concern various aspects of extension of classical continuum models. These extensions are related to the appearance of microstructures both natural as well as these created by processes. To the first class belong various thermodynamic models of multicomponent systems such as porous materials, composites, materials with microscopic heterogeneities. To the second class belong primarily microstructures created by phase transformations. Invited authors cover both fields of thermodynamic modeling and mathematical analysis of such continua with microstructure. In particular the following subjects are covered:

• thermodynamic modeling of saturated and unsaturated porous and granular media,
• linear and nonlinear waves in such materials,
• extensions of constitutive laws by internal variables, higher gradients and nonequilibrium fields,
• stochastic processes in porous and fractal materials, 
• thermodynamic modeling of composite materials,
• mathematical analysis of multicomponent systems, 
• phase transformations in solids.