各向异性体的断裂条件及其应力空间几何

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Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space

摘要: 本文根据固体断裂裂纹扩展的能量条件,探索各向异性体的断裂条件及其应力空间几何,结论是:在恒温条件下,断裂的应力空间曲面为二次曲面.当流体静应力大于零时,为椭球面;当流体静应力小于零时,为单叶双曲面.本文所得的结论具有一定的普遍性,前人的一些结论可作为本文的特殊形式.

Abstract: The conditions for fracture of anisotropic bodies and their geometry in stress space are proposed in this paper.The analytical formulae expressing the fracture conditions are established front the viewpoint of energy theory for crack propagation.In stress space the limiting surface corresponding to the fracture conditions derived for anisotropic solids is quadratic. It is an ellipsoid in case the mean stress is greater than zero and it is hyperboloid in case the mean stress is smaller than zero.The conclusions formed by the author in the present paper have certain generality. Some results obtained by predecessors appear to be special cases with respect to the present theory.

[1]	Jenkins,C.F.,Report on materials of construction used in aircraft and aircraft engines,Great Britain Aeronaut Res.Committee,(1920).
[2]	Waddoups,M.E.,Composite materials workshop.(S.W.Tsai,N.J.Pagano and J.C.Halpin,eds.)Technomic,Westport,Connecticut,(1968).
[3]	Hill,R.,Proc.Roy.Soc.A.193,(1948) 281-297.
[4]	Hoffman,O.,J.Compos.Mater.,1,(1967) 200-206.
[5]	Franklin,H.G.,Fiber.Soc.Tech.1,(1968) 137-141.
[6]	Chamis,C.C.,Composite materials:Testing and Design,ASTM-STP 460,(1969) 336-351.
[7]	Pariseau,W.G.,Basic and applied rock mechanics(K.E.Gray,ed.),Society of Mining Engineers of the American Institute of Mining,Metallurgical and Petroleum Engineers,Inc.,(1972),267-295.
[8]	Ashkenazi,E.K.,and F.P.Pekker,Mech.Polim.6,2,(1970),284-294.
[9]	Wu,E.M.,J.Compos.Mater.,6,(1972) 474-489.
[10]	Tennyson,R.C.,D.Macdonald,and A.P.Naugaro,J.Compos.Mater.12,(1978) 63.63.
[11]	Shih,C.F.,and D.Lee,J.Eng.Mater.Tech.100,(1978),294-302.
[12]	Фридкан,п.в.,Ебчка Теорч Прочносм,(1943).
[13]	刘叔仪,物理学报,9.4(1953),275-293.
[14]	刘叔仪,物理学报,10.1(1954),13-34.