Summary
In the paper a general yield condition for anisotropic ductile porous materials is developed employing the tensor functions representations. It is assumed that directional mechanical properties of a porous material are described by the structural permeability second order tensor. Such procedure enables us to disclose rotation and translations of the yield surface to shear and hydrostatic stress axes. The isotropic case is analysed in detail. Specific forms of yield criteria for simple stress states are discussed and the necessary measurements are proposed to determine the material constants.
Übersicht
In der Arbeit wird eine allgemeine Fließbedingung für anisotrope, duktile, poröse Materialien entwickelt. Es wird dabei vorausgesetzt, daß die richtungsabhängigen mechanischen Eigenschaften eines porösen Materials von einem Tensor zweiter Stufe, dem Permeabilitätstensor, abhängen. Spezielle Formen des Fließkriteriums werden für einfache Spannungszustände diskutiert, und Methoden zur Bestimmung der Materialparameter werden vorgeschlagen.
Similar content being viewed by others
References
Green, R. J.: A plasticity theory for porous solids. Int. J. Mech. Sci. 14 (1972) 215–226
Shima, S.; Oyane, M.: Plasticity theory for porous metals. Int. J. Mech. Sci. 18 (1976) 285–291
Litewka, A.; Sawczuk, A.: A yield criterion for perforated sheets. Ing. Arch. 50 (1981) 393–400
Kubik, J.: Permeability tensor and porosity of material with rectilinear channels. Bull. Acad. Pol. Sci. 10–11 (1979) 445–453
Boehler, J. P.: Loi de comportement anisotrope des milieux continous. J. Mec. 17 (1978) 153–190
Boehler, J. P.; Sawczuk, A.: On yielding of oriented solids. Acta Mech. 27 (1977) 185–206
Kubik, J.; Rybicki, A.: Porosity-permeability relation in material with channel pore structure. Studia Geot. Mech. 3 (1980) 61–71
Smith, G. F.: On isotropic functions of symmetric tensors. Int. J. Eng. Sci. 9 (1971) 899–916
Wang, C. C.: A new representation theorem for isotropic functions. Arch. Rat. Mech. Anal. 36 (1970) 166–223
Hu, L. W.; Pae, K. D.: Inclusion of the hydrostatic stress component in formulation of the yield condition. J. Franklin Inst. 6 (1963) 491–502
Kuhn, H. A.; Downey, C. L.: Deformation characteristics and plasticity theory of sintered powder materials. Int. J. Powder Met. 7 (1971) 15–25
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kubik, J., Mielniczuk, J. Yield condition of oriented porous solid. Ing. arch 53, 53–60 (1983). https://doi.org/10.1007/BF01352171
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01352171