Theory of Porous Media — Past and Present
Theory of Porous Media — Past and Present
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多孔介质理论——过去和现在
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
R. Boer
中科院分区：
文献类型：
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作者：
R. Boer
充满液体或气体的多孔固体在工程中起着重要的作用，例如，在材料科学、石油工业、化学工程、土壤力学以及生物力学方面。尽管多孔介质具有相当的实际意义，但长期以来，对其力学行为的描述并不令人满意。描述这种饱和多孔固体的复杂物理行为的理论直到最近才得出某些有根据的结论。
本文的目的是展示多孔介质理论的历史发展，它已经开始在18世纪，形成在一些领域的争论和悲剧事件的科学家的生活。此外，还讨论了这一课题的研究现状，说明了材料独立基本方程和本构理论的发展状况。对于一类模型，得到了最小值问题和最大值问题的一般定理，并证明了边值问题解的唯一性。
Porous solids filled with liquid or gas play an important role in engineering, e.g., in material science, petroleum industry, chemical engineering, and soil mechanics as well as in biomechanics. Although porous media are of considerable practical significance the description of their mechanical and thermodynamical behavior has been unsatisfactory for a long time. The theory to describe the complex thermodynamical behavior of such saturated porous solids has come to certain well-founded conclusions only recently.
It is the goal of this paper to show the historical development of the porous media theory, which already started in the eighteenth century, formed in some areas by polemic disputes and tragic events in the lifes of the scientists involved. Furthermore, the current state of the research into this subject is discussed, whereby the state of the development of the material independent basic equations and the constitutive theory is illustrated. For a certain class of models general theorems, such as minimum and maximum problems, are derived and the uniqueness of solutions of boundary value problems is proved.