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Yield condition of oriented porous solid

Fließbedingung für anisotrope, poröse Materialien

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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.

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References

  1. Green, R. J.: A plasticity theory for porous solids. Int. J. Mech. Sci. 14 (1972) 215–226

    Google Scholar 

  2. Shima, S.; Oyane, M.: Plasticity theory for porous metals. Int. J. Mech. Sci. 18 (1976) 285–291

    Google Scholar 

  3. Litewka, A.; Sawczuk, A.: A yield criterion for perforated sheets. Ing. Arch. 50 (1981) 393–400

    Google Scholar 

  4. Kubik, J.: Permeability tensor and porosity of material with rectilinear channels. Bull. Acad. Pol. Sci. 10–11 (1979) 445–453

    Google Scholar 

  5. Boehler, J. P.: Loi de comportement anisotrope des milieux continous. J. Mec. 17 (1978) 153–190

    Google Scholar 

  6. Boehler, J. P.; Sawczuk, A.: On yielding of oriented solids. Acta Mech. 27 (1977) 185–206

    Google Scholar 

  7. Kubik, J.; Rybicki, A.: Porosity-permeability relation in material with channel pore structure. Studia Geot. Mech. 3 (1980) 61–71

    Google Scholar 

  8. Smith, G. F.: On isotropic functions of symmetric tensors. Int. J. Eng. Sci. 9 (1971) 899–916

    Google Scholar 

  9. Wang, C. C.: A new representation theorem for isotropic functions. Arch. Rat. Mech. Anal. 36 (1970) 166–223

    Google Scholar 

  10. 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

    Google Scholar 

  11. Kuhn, H. A.; Downey, C. L.: Deformation characteristics and plasticity theory of sintered powder materials. Int. J. Powder Met. 7 (1971) 15–25

    Google Scholar 

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Kubik, J., Mielniczuk, J. Yield condition of oriented porous solid. Ing. arch 53, 53–60 (1983). https://doi.org/10.1007/BF01352171

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  • DOI: https://doi.org/10.1007/BF01352171

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