메뉴 건너뛰기




Volumn 48, Issue 11, 2010, Pages 1066-1082

Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls

Author keywords

Artery; Biomechanics; Elasticity; Residual stresses

Indexed keywords

APPROXIMATE METHODS; ARTERIAL WALL; ARTERY; AXIAL DIRECTION; AXIAL POSITIONS; COMPLICATED SYSTEMS; HYPER ELASTIC; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; OPENING ANGLE; POSSIBLE FUTURES; RESIDUAL STRESS DISTRIBUTIONS; SEMI INVERSE METHODS; STRESS COMPONENT; TUBE WALLS;

EID: 78649632177     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.06.005     Document Type: Article
Times cited : (18)

References (30)
  • 1
    • 47849092227 scopus 로고    scopus 로고
    • Growth and remodeling in a thick-walled artery model: Effects of spatial variations in wall constituents
    • P.W. Alford, J.D. Humphrey, and L.A. Taber Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents Biomech. Model Mechanobiol. 7 2008 245 262
    • (2008) Biomech. Model Mechanobiol. , vol.7 , pp. 245-262
    • Alford, P.W.1    Humphrey, J.D.2    Taber, L.A.3
  • 3
    • 0025894894 scopus 로고
    • What are the residual stresses doing in our blood vessels?
    • Y.C. Fung What are the residual stresses doing in our blood vessels? Ann. Biomed. Eng. 19 1991 237 249
    • (1991) Ann. Biomed. Eng. , vol.19 , pp. 237-249
    • Fung, Y.C.1
  • 5
    • 0024424885 scopus 로고
    • Change of residual strains in arteries due to hypertrophy caused by aortic constrictions
    • Y.C. Fung, and S.Q. Liu Change of residual strains in arteries due to hypertrophy caused by aortic constrictions Circ. Res. 65 1989 1340 1349
    • (1989) Circ. Res. , vol.65 , pp. 1340-1349
    • Fung, Y.C.1    Liu, S.Q.2
  • 6
    • 0031281783 scopus 로고    scopus 로고
    • Experimental investigation of the distribution of residual strains in the artery wall
    • S.E. Greenwald, J.E. Moore Jr., A. Rachev, T.P.C. Kane, and J.-J. Meister Experimental investigation of the distribution of residual strains in the artery wall J. Biomech. Eng. 119 1997 438 444
    • (1997) J. Biomech. Eng. , vol.119 , pp. 438-444
    • Greenwald, S.E.1    Moore, Jr.J.E.2    Rachev, A.3    Kane, T.P.C.4    Meister, J.-J.5
  • 7
    • 0022861304 scopus 로고
    • On the determination of residual stress in an elastic body
    • A. Hoger On the determination of residual stress in an elastic body J. Elasticity 16 1986 303 324
    • (1986) J. Elasticity , vol.16 , pp. 303-324
    • Hoger, A.1
  • 9
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • G.A. Holzapfel, T.C. Gasser, and R.W. Ogden A new constitutive framework for arterial wall mechanics and a comparative study of material models J. Elasticity 61 2000 1 48
    • (2000) J. Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 12
    • 77951698104 scopus 로고    scopus 로고
    • Modelling the layer-specific 3D residual stresses in arteries, with an application to the human aorta
    • G.A. Holzapfel, and R.W. Ogden Modelling the layer-specific 3D residual stresses in arteries, with an application to the human aorta J. R. Soc. Interface 7 2010 787 799
    • (2010) J. R. Soc. Interface , vol.7 , pp. 787-799
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 13
    • 33947411432 scopus 로고    scopus 로고
    • Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening
    • G.A. Holzapfel, G. Sommer, M. Auer, P. Regitnig, and R.W. Ogden Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening Ann. Biomed. Eng. 35 2007 530 545
    • (2007) Ann. Biomed. Eng. , vol.35 , pp. 530-545
    • Holzapfel, G.A.1    Sommer, G.2    Auer, M.3    Regitnig, P.4    Ogden, R.W.5
  • 14
    • 0005314178 scopus 로고    scopus 로고
    • Cardiovascular Solid Mechanics
    • Springer-Verlag New York
    • J.D. Humphrey Cardiovascular Solid Mechanics Cells, Tissues, and Organs 2002 Springer-Verlag New York
    • (2002) Cells, Tissues, and Organs
    • Humphrey, J.D.1
  • 15
    • 0012977811 scopus 로고    scopus 로고
    • Native properties of cardiovascular tissues: Guidelines of functional tissue engineering
    • J.D. Humphrey Native properties of cardiovascular tissues: guidelines of functional tissue engineering F. Guilak, D.L. Butler, St.A. Goldstein, D.J. Mooney, Functional Tissue Engineering 2003 Springer-Verlag New York 35 45
    • (2003) Functional Tissue Engineering , pp. 35-45
    • Humphrey, J.D.1
  • 16
    • 0032317805 scopus 로고    scopus 로고
    • The use of strain energy to quantify the effect of residual stress on mechanical behaviour
    • B.E. Johnson, and A. Hoger The use of strain energy to quantify the effect of residual stress on mechanical behaviour Math. Mech. Solids 3 1998 447 470
    • (1998) Math. Mech. Solids , vol.3 , pp. 447-470
    • Johnson, B.E.1    Hoger, A.2
  • 17
    • 0031896487 scopus 로고    scopus 로고
    • Stretch-induced collagen synthesis in cultured smooth muscle cells from rabbit aortic media and a possible involvement of angiotensin II and transforming growth factor-β
    • Q. Li, Y. Muragaki, I. Hatamura, H. Ueno, and A. Ooshima Stretch-induced collagen synthesis in cultured smooth muscle cells from rabbit aortic media and a possible involvement of angiotensin II and transforming growth factor-β J. Vasc. Res. 35 1998 93 103
    • (1998) J. Vasc. Res. , vol.35 , pp. 93-103
    • Li, Q.1    Muragaki, Y.2    Hatamura, I.3    Ueno, H.4    Ooshima, A.5
  • 19
    • 0031214342 scopus 로고    scopus 로고
    • Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions
    • A. Rachev Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions J. Biomech. 30 1997 819 827
    • (1997) J. Biomech. , vol.30 , pp. 819-827
    • Rachev, A.1
  • 20
    • 33751268423 scopus 로고
    • The reason for the shape of the distensibility curve of arteries
    • M.R. Roach, and A.C. Burton The reason for the shape of the distensibility curve of arteries Can. J. Biochem. Physiol. 35 1957 681 690
    • (1957) Can. J. Biochem. Physiol. , vol.35 , pp. 681-690
    • Roach, M.R.1    Burton, A.C.2
  • 21
    • 0348170991 scopus 로고    scopus 로고
    • A comparison of the response of isotropic inhomogeneous elastic cylindrical and spherical shells and their homogenized counterparts
    • U. Saravanan, and K.R. Rajagopal A comparison of the response of isotropic inhomogeneous elastic cylindrical and spherical shells and their homogenized counterparts J. Elasticity 71 2003 205 233
    • (2003) J. Elasticity , vol.71 , pp. 205-233
    • Saravanan, U.1    Rajagopal, K.R.2
  • 22
    • 29244453621 scopus 로고    scopus 로고
    • Inflation extension torsion and shearing of an inhomogeneous compressible elastic right circular annular cylinder
    • U. Saravanan, and K.R. Rajagopal Inflation extension torsion and shearing of an inhomogeneous compressible elastic right circular annular cylinder Math. Mech. Solids 10 2005 603 650
    • (2005) Math. Mech. Solids , vol.10 , pp. 603-650
    • Saravanan, U.1    Rajagopal, K.R.2
  • 23
    • 33748095179 scopus 로고    scopus 로고
    • On the deformation of the circumflex coronary artery during inflation test at constant length
    • U. Saravanan, S. Baek, K.R. Rajagopal, and J.D. Humphrey On the deformation of the circumflex coronary artery during inflation test at constant length Exp. Mech. 46 2006 647 656
    • (2006) Exp. Mech. , vol.46 , pp. 647-656
    • Saravanan, U.1    Baek, S.2    Rajagopal, K.R.3    Humphrey, J.D.4
  • 25
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodelling, and morphognesis
    • L.A. Taber Biomechanics of growth, remodelling, and morphognesis Appl. Mech. Rev. 48 1995 487 543
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 487-543
    • Taber, L.A.1
  • 26
    • 0035668366 scopus 로고    scopus 로고
    • Stress modulated growth residual stress, and vascular heterogeneity
    • L.A. Taber, and J.D. Humphrey Stress modulated growth residual stress, and vascular heterogeneity J. Biomech. 123 2001 528 535
    • (2001) J. Biomech. , vol.123 , pp. 528-535
    • Taber, L.A.1    Humphrey, J.D.2
  • 29
    • 33646790866 scopus 로고    scopus 로고
    • Lagrangian equilibrium equations in cylindrical and spherical coordinates
    • K.Y. Volokh Lagrangian equilibrium equations in cylindrical and spherical coordinates Comput. Mater. Continua 3 2006 37 42
    • (2006) Comput. Mater. Continua , vol.3 , pp. 37-42
    • Volokh, K.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.