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Wariacyjne ujęcie zagadnienia przepływów cieplno-dyfuzyjnych w anizotropowym ciele lepkosprężystym

Haberecht M.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

2014

z. 104

65-68

The physical equations for anisotropic viscoelastic body taking into account distortions caused by thermal and diffusive influences are discussed in the work. On this basis one formulated a variatonal description of the problem, equivalent to the differential one.

Energy-based limit conditions for transversally isotropic solids

Kowalczyk K., Ostrowska-Maciejewska J.

Archives of Mechanics

2002

Vol. 54, nr 5-6

497-523

Using an example of transversal isotropy, the limit condition having an energy interpretation for anisotropic bodies proposed by J. Rychlewski [11] has been illustrated. Transversal isotropy is characterized by the highest degree of symmetry, for which the spherical tensor is not any more the eigenstate of the compliance tensor C. In the case when the spectral decomposition of the compliance tensor C is taken as a main energy-orthogonal decomposition, the limit condition representing a generalization of the Maxwell-Huber-Mises condition is obtained. For a prescribed form of the limit tensor H, the Mises condition is presented in the form of a sum of elastic energies corresponding to uniquely defined energy-orthogonal parts of stress with certain weights, representing the limiting values of those energies. The effect of Burzyński's condition on the form of anisotropy and on the limit condition is discussed. Experimental tests are proposed which could be useful in determining the physical parameters describing the transversal isotropy.