On the deformation of functionally graded porous elastic cylinders

Journal of Elasticity

Volumn 87, Issue 2-3, 2007, Pages 147-159

  Ieşan, Dorin ^a   Scalia, Antonio ^b  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

Elastic materials with voids; Extension and bending; Inhomogeneous bodies; Orthotropic elastic cylinders; Plane strain problem; Saint Venant's problem

Indexed keywords

CYLINDERS (SHAPES); ELASTICITY; PLASTIC DEFORMATION; POROUS MATERIALS; PROBLEM SOLVING; STRAIN;

ELASTIC MATERIALS WITH VOIDS; EXTENSION AND BENDING; INHOMOGENEOUS BODIES; PLANE STRAIN PROBLEM; SAINT-VENANT'S PROBLEM;

FUNCTIONALLY GRADED MATERIALS;

EID: 34250650522     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-007-9101-9     Document Type: Article

References (12)

1. Nunziato, J.W., Cowin, S.C.: A nonlinear theory of elastic materials with voids. Arch. Ration. Mech. Anal. 72, 175-201 (1979)
2. Cowin, S.C., Nunziato, J.W.: Linear elastic materials with voids. J. Elast. 13, 125-147 (1983)
3. Cowin, S.C., Puri, P.: The classical pressure vessel problems for linear elastic materials with voids. J. Elast. 13, 157-163 (1983)
4. Cowin, S.C.: The stresses around a hole in a linear elastic materials with voids. Q. J. Mech. Appl. Math. 37, 441-465 (1984)
5. Manolachi, A.: The method of complex potentials in solving two-dimensional problems for media with voids. An. Stunt. Univ. "ALL Cuza" Iaşi, Mat. 39, 69-94 (1993)
6. Batra, R.C., Yang, J.S.: Saint-Venant's principle for linear elastic porous materials. J. Elast. 39, 265-271 (1995)
7. Dell'Isola, F., Batra, R.C.: Saint-Venant's problem for porous linear elastic materials. J. Elast. 47, 73-81 (1997)
8. Morgan, CO., Chan, A.M.: Torsion of functionally graded Isotropic linearly elastic bars. J. Elast. 52, 181-199 (1998/99)
9. Horgan, C.O., Chan, A.M.: The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J. Elast. 55, 43-59 (1999)
10. Horgan, C.O., Quintanilla, R.: Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Math. Mech. Solids 6, 115-132 (2001)
11. Fichera, G.: Existence theorems in elasticity. In: Flügge, W. (ed.) Handbuch der Physik, vol. VI a/2, pp. 347-388. Springer, Berlin Heidelberg New York (1972)
12. Lomakin, V.A.: Theory of Nonhomogeneous Elastic Bodies (in Russian), MGU, Moscow (1976)