Engineering Transactions, 60, 2, pp. 125–138, 2012

Limit Condition for Anisotropic Materials with Asymmetric Elastic Range

Janina OSTROWSKA–MACIEJEWSKA
Institute of Fundamental Technological Research Polish Academy of Sciences

Ryszard Bolesław PĘCHERSKI
Institute of Fundamental Technological Research Polish Academy of Sciences; AGH University of Science and Technology Faculty of Mechanical Engineering and Robotics Department of Strength, Fatigue of Materials and Structures

Paweł SZEPTYŃSKI
AGH University of Science and Technology Faculty of Mechanical Engineering and Robotics Department of Strength, Fatigue of Materials and Structures

In the paper a new proposition of an energy-based hypothesis of material effort is intro-
duced. It is based on the concept of influence functions introduced by Burzyński [3] and
on the concept of decomposition of elastic energy density introduced by Rychlewski [18].
A new proposition enables description of a wide class of linearly elastic materials of arbitrary
symmetry exhibiting strength differential effect.
Keywords: linear elasticity, anisotropy, material effort hypotheses, limit state criteria
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