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Zur Problematik tensorieller Verallgemeinerungen einachsiger nichtlinearer Materialgesetze. (On the problem of tensorial generalization of uniaxial nonlinear constitutive equations). (German) Zbl 0668.73002

It is shown by counterexamples that it is generally impossible to derive tensor constitutive equations from empirical scalar approximations of a single uniaxial experiment. Especially the use of generalized classical moduls leads to inconsistencies. Some examples are given, which show that the use of a dual constitutive equation allows considerable simplifications. The experiments necessary for a complete identification of material parameters are discussed.

MSC:

74A20 Theory of constitutive functions in solid mechanics
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