zbMATH — the first resource for mathematics

Theory of porous media. Highlights in historical development and current state. (English) Zbl 0945.74001
Berlin: Springer. xvi, 618 p. (2000).
The author presents a consistent approach to material-independent fundamental equations of the theory of porous media, the development of constitutive equations for frictional materials in the elastic and plastic range and the historical development of porous media theory. For the first time, a unique treatment of fluid-saturated porous solids is presented containing the historical development as well as the current state of of the corresponding theory.
The book contains the following chapters: 1. Introduction; 2. The early era; 3. The classical era; 4. The modern era; 5. Current state of porous media theory; 6. Conclusions and outlook; Appendix with: A. Evaluation of the entropy inequality; B. Introduction to the vector and tensor calculus for engineers; C. Geometric representation of principal stresses, stress invariants and the Mohr-Coulomb theory; References; Author index; Subject Index.

74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
74E05 Inhomogeneity in solid mechanics
76S05 Flows in porous media; filtration; seepage
74-03 History of mechanics of deformable solids
76-03 History of fluid mechanics
01A60 History of mathematics in the 20th century
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)