參考文獻 |
參考文獻
1.F.A.McClintock, A criterion for ductile fracture by the growth of holes. J.Appl. Mech., 35 (1968) 363-371.
2.A.Needleman, Void growth in an elastic-plastic medium. J.Appl. Mech., 39 (1972) 964-970.
3.A.L.Gurson, Continuum theory of ductile rupture by void nucleation and growth : Part Ⅰ- yield criteria and flow rules for porous ductile media. J.Energ.Matl.Tech.,Trans.ASME, (1977) 2-15.
4.U.Stigh, Effects of interacting cavities on damage parameter. J.Appl. Mech, 53 (1986) 485-490.
5.H.S.Hou and R.Abeyarante, Cavitation in elastic and elastic-plastic solids, J.Mech.Phys.Solids, 40 (1992) 571-592.
6.A.N.Gent,Cavitation in rubber: a cautionary tale. Rubber Chem.Tech., 63 (1990) G49-G53.
7.C.O.Horgan and D.A.Polignone,Cavitation in nonlinearly elastic solids: a review. Appl.Mech.Rev., 48 (1995) 471-485.
8.H.C.Lei(李顯智) and H.W.Chang, Void formation and growth in a class of compressible solids. J.Engrg.Math., 30 (1996) 693-706.
9.J.M.Ball, Discontinous equilibrium solutions and cavitation in nonlinear elasticity. Phil.Trans.R.Soc.Lond, A306 (1982) 557-610.
10.C.A.Stuart, Radially symmetric cavitation for hyperelastic materials, Ann.Inst.Henri Poincare-Analyse non lineare, 2 (1985) 33-66.
11.C.O.Horgan and R.Abeyaratne, A bifurcation problem for a compressible nonlinearly elastic medium: growth of a micro-void. J.Elasticity, 16 (1986) 189-200.
12.F.Meynard, Existence and nonexistence results on the radially symmetric cavitation problem. Quart.Appl.Math. 50 (1992) 201-226.
13.S.Biwa, Critical stretch for formation of a cylindrical void in a compressible hyperelastic material. Int.J.Non-Linear Mech., 30 (1995) 899-914.
14.S.Biwa, E.Matsumoto and T.Shibata, Effect of constitutive parameters on formation of a spherical void in a compressible non-linear elastic material. J.Appl.Mech. 61 (1994) 395-401.
15.X.-C. Shang and C.-J. Cheng, Exact solution for cavitated bifurcation for compressible hyperelastic materials. Int.J.Engrg.Sci., 39 (2001) 1101-1117.
16.M.S.Chou-Wang and C.O.Horgan, Cavitation in nonlinear elastodynamics for neo-HooKean materials. Int.J.Engrg.Sci., 27 (1989) 967-973.
17.M. Cheref, M. Zidi and C. Oddou, Analytical modelling of vascular prostheses mechanics. Intra and extracorporeal cardiovascular fluid dynamics. Comput. Mech. Pub., 1 (1998) 191-202.
18.M. Zidi, Finite torsional and anti-plane shear of a compressible hyperelastic and transversely isotropic tube. Int. J. Engrg. Sci., 38 (2000) 1481-1496.
19.N. Roussos and D.P. Mason, On non-linear radial oscillations of an incompressible , hyperbolic spherical shell. Math. Mech. Solids, 7(2002)67-85.
20.R.Abeyaratne and C.O.Horgan, Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinear elastic medium. J. Elasticity, 15 (1985) 243-256.
21.J.K. Knowles and E. Sternberg, On the ellipticity of non-linear elastostatics for a special material. J. Elasticity, 5 (1975) 341-361.
22.C.O. Horgan, Remarks on ellipticity for the generalized Blatz-Ko constitutive model for compressible nonlinearly elastic solid. J. Elasticity, 42 (1996) 165-176.
23.A. Mioduchowski and J.B. Haddow, Combined torsional and telescopic shear of a compressible hyperelastic tube. J. Appl. Mech., 46 (1979) 223-226.
24.M. Zidi, Circular shearing and torsion of a compressible hyperelastic and prestressed tube. Int. J. Non-Linear Mech., 35 (2000) 201-209.
25.M. Zidi, Torsion and axial shearing of a compressible hyperelastic tube. Mech. Res. Comm., 26 (1999) 245-252.
26.李顯智,唐又新,孔洞承受的極限壓力,中華民國力學學會期刊,33(1997)205-
212.
27.P.J. Blatz and W.L. Ko , Application of finite elastic theory to the deformation of rubbery materials . Trans.Soc. Rheol. , 6 (1962) 223-251 .
28.Peter E. Hydon. Symmetry Methods For Differential Equations : a beginner's guide. Cambridge University Press, New York (2000)
29.W. Bluman and J.D. Cole, Similarity Method for Differential Equation. Springer-verlag, New York (1974)
30.Lawrence E. Malvern, Introduction To The Mechanics of a Continuous Medium. Prentice-Hall,Inc. Englewood Cliffs, N. J. |