Exact relations for effective tensors of composites: Necessary conditions and sufficient conditions
نویسندگان
چکیده
منابع مشابه
Exact relations for effective tensors of composites: Necessary conditions and sufficient conditions
Typically, the elastic and electrical properties of composite materials are strongly microstructure dependent. So it comes as a nice surprise to come across exact formulae for effective moduli that are universally valid no matter what the microstructure. Such exact formulae provide useful benchmarks for testing numerical and actual experimental data, and for evaluating the merit of various appr...
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The set of all effective moduli of a polycrystal usually has a nonempty interior. When it does not, we say that there is an exact relation for effective moduli. This can indeed happen as evidenced by recent results [4, 10, 12] on polycrystals. In this paper we describe a general method for finding such relations for effective moduli of laminates. The method is applicable to any physical setting...
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Typically, the elastic and electrical properties of composite materials are strongly microstruc-ture dependent. So it comes as a nice surprise to come across exact formulae for eeective moduli that are universally valid no matter what the microstructure. Such exact formulae provide useful benchmarks for testing numerical and actual experimental data, and for evaluating the merit of various appr...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2000
ISSN: 0010-3640,1097-0312
DOI: 10.1002/(sici)1097-0312(200003)53:3<300::aid-cpa2>3.0.co;2-d