메뉴 건너뛰기




Volumn 14, Issue 8, 2009, Pages 747-758

Analytical solution for a pressurized thick-walled spherical shell based on a simplified strain gradient elasticity theory

Author keywords

Elasticity; Lam 's solution; Length scale; Microstructural effect; Pressure vessel; Strain gradient theory; Thick walled spherical shell

Indexed keywords

ANALYTICAL SOLUTIONS; CLOSED FORM SOLUTIONS; ELASTICITY SOLUTIONS; GEOMETRICAL PARAMETERS; LENGTH SCALE; MATERIAL LENGTH SCALE; MATERIAL MICROSTRUCTURES; MATERIAL PROPERTY; MICROSTRUCTURAL EFFECT; NEW SOLUTIONS; NUMERICAL RESULTS; PRESSURE VALUES; SHELL WALL; SPHERICAL SHELL; STRAIN GRADIENT EFFECTS; STRAIN GRADIENT ELASTICITY; STRAIN GRADIENT THEORY; STRAIN GRADIENTS; TANGENTIAL STRESS; THICK-WALLED SPHERICAL SHELL;

EID: 70350749766     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286508097638     Document Type: Article
Times cited : (43)

References (17)
  • 2
    • 0028255166 scopus 로고
    • An exact elasto-plastic solution for a thick-walled spherical shell of elastic linear-hardening material with finite deformations
    • Gao, X.-L. An exact elasto-plastic solution for a thick-walled spherical shell of elastic linear-hardening material with finite deformations. International Journal of Pressure Vessels and Piping, 57, 45-56 (1994).
    • (1994) International Journal of Pressure Vessels and Piping , vol.57 , pp. 45-56
    • Gao, X.-L.1
  • 3
    • 0042196167 scopus 로고    scopus 로고
    • Strain gradient plasticity solution for an internally pressurized thick-walled spherical shell of an elastic-plastic material
    • Gao, X.-L. Strain gradient plasticity solution for an internally pressurized thick-walled spherical shell of an elastic-plastic material. Mechanics Research Communications, 30, 411-420 (2003).
    • (2003) Mechanics Research Communications , vol.30 , pp. 411-420
    • Gao, X.-L.1
  • 4
    • 0000095439 scopus 로고
    • Second gradient of strain and surface-tension in linear elasticity
    • Mindlin, R.D. Second gradient of strain and surface-tension in linear elasticity. International Journal of Solids and Structures, 1, 417-438 (1965).
    • (1965) International Journal of Solids and Structures , vol.1 , pp. 417-438
    • Mindlin, R.D.1
  • 7
    • 0003118069 scopus 로고
    • Experimental methods for study of Cosserat elastic solids and other generalized elastic continua
    • In ed. H. Mühlhaus, Wiley, New York
    • Lakes, R. Experimental methods for study of Cosserat elastic solids and other generalized elastic continua. In Continuum Models for Materials with Micro-structure, ed. H. Mühlhaus, Wiley, New York, pp. 1-22, 1995.
    • (1995) Continuum Models for Materials With Micro-structure , pp. 1-22
    • Lakes, R.1
  • 9
    • 13544263609 scopus 로고    scopus 로고
    • Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems
    • Zhang, X. and Sharma, P. Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems. International Journal of Solids and Structures, 42, 3833-3851 (2005).
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 3833-3851
    • Zhang, X.1    Sharma, P.2
  • 12
    • 34548833808 scopus 로고    scopus 로고
    • Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
    • Gao, X.-L. and Park, S.K. Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem. International Journal of Solids and Structures, 44, 7486-7499 (2007).
    • (2007) International Journal of Solids and Structures , vol.44 , pp. 7486-7499
    • Gao, X.-L.1    Park, S.K.2
  • 14
    • 0033908668 scopus 로고    scopus 로고
    • Hybrid method for stress analysis of finite three-dimensional elastic components
    • Gao, X.-L. and Rowlands, R.E. Hybrid method for stress analysis of finite three-dimensional elastic components. International Journal of Solids and Structures, 37, 2727-2751 (2000).
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 2727-2751
    • Gao, X.-L.1    Rowlands, R.E.2
  • 16
    • 33846993942 scopus 로고
    • Factorization of operators of second order linear homogeneous ordinary differential equations
    • Sandell, D.C. and Stein, F.M. Factorization of operators of second order linear homogeneous ordinary differential equations. The Two-Year College Mathematics Journal, 8(3), 132-141 (1977).
    • (1977) The Two-Year College Mathematics Journal , vol.8 , Issue.3 , pp. 132-141
    • Sandell, D.C.1    Stein, F.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.