**15**, 3, pp. 361-399, 1967

### Koncepcje Opisu Zanikania Pamięci Materiału

Sec. 2 presents a brief discussion of the theory of a simple material. The forms of the constitutive equations studied in the subsequent parts of the paper are analysed in detail.

Sec. 3 is fundamental for the paper. It contains a discussion of the physical aspect of the phenomenon of fading memory. The mathematical foundations of its description are discussed. The domain of the constitutive functional is defined as a subset of a metric topologic space. The weak and strong principles of fading memory are defined, respectively, as the condition of continuity and differentiability of the constitutive functional in the metric space. The most important of the results that can be obtained from the above formulation of the principles of fading memory are discussed.

Sec. 4 brings a detailed discussion of the conception of description of fading memory proposed by B.D. Coleman and W. Noll. Much space is devoted to the fundamental theorem on the stress relaxation and to the approximations of the constitutive functional.

In Sec. 5 are discussed the two proposals of C.-C. Wang.

Sec. 6 is devoted to the conception of A.E. Green and R.S. Rivlin.

In the final conclusions (Sec. 7) the practical importance of the theory of materials with fading memory is pointed out.

**Full Text:**PDF

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