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Tensory Greena-Lagrange'a i Pioli-Kirchhoffa w płaskim elemencie belkowym

Zamorowski J.

Roczniki Inżynierii Budowlanej

2007

z. 7

141--144

Formulae have been introduced for the components of Green-Lagrange’s strain tensor and the 2nd Piola-Kirchhoff’s stress tensor for primarily deformed flat beam elements of the Timoshenko-type at large displacements and large and small rotations.

A qualitative approach to Hooke's tensors. Part 1

Rychlewski J.

Archives of Mechanics

2000

Vol. 52, nr 4-5

737-759

The main qualitative properties of Hooke's tensors can be found in their invariant decompositions, both linear and nonlinear. The invariant nonlinear spectral decompositions are presented in the review [7] and the papers quoted therein. This paper deals with linear invariant decompositions initiated in [12] - [20]. A straightforward and complete description of all such possible decompositions is presented here in Part I. The main results are given in formulae (7.1), (7.3). The next part (to appear), Part II, will contain derivations, conclusions and unexpected applications.