Theory of residual stresses with application to an arterial geometry

Archives of Mechanics

Volumn 59, Issue 4-5, 2007, Pages 341-364

  Klarbring, A ^a   Olsson, T ^a   Stalhand J ^a  

^a LINKÖPING INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35548951356     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (21)

1. R.N. VAISHNAV and J. VOSSOUGHI, Estimation of residual strains in aortic segments, [in:] C.W. HALL [Ed.], Biomedical engineering II, Recent developments, Pergamon Press, New York 1983.
2. Y.C. FUNG, On the foundations of biomechanics, Journal of Applied Mechanics, 50, 1003-1009, 1983.
3. E.K. RODRIGUEZ, A. HOGER and A.D. McCULLOCH, Stress-Dependent Finite Growth in Soft Elastic Tissues, Journal of Biomechanics, 27, 455-467, 1994.
4. R. SKALAK, S. ZARGARYAN, R. JAIN, P. NETTI and A. HOGER, Compatibility and the genesis of residual stress by volumetric growth, Journal of Mathematical Biology, 34, 889-914, 1996.
5. G.A. MAUGIN, Geometry and thermodynamics of structural rearangements: Ekkehart Kröner's legacy, ZAMM, 83, 2, 75-84, 2003.
6. C. TRUESDELL and W. NOLL, The nonlinear field theories of mechanics, Springer, New York 1965.
7. W. NOLL, Materially uniform simple bodies with inhomogeneities, Archive for Rational Mechanics and Analysis, 27, 1-32, 1967.
8. M.E. GURTIN, An introduction to continuum mechanics, Academic Press, Orlando 1981.
9. B.E. JOHNSON and A. HOGER, The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials, Journal of Elasticity, 41, 177-215, 1995.
10. K. TAKAMIZAWA and T. MATSUDA, Kinematics for bodies undergoing residual stress and its applications to the left ventricle, Journal of Applied Mechanics, 57, 321-329, 1990.
11. C.J. CHOUNG and Y.C. FUNG, Residual stress in arteries, [in:] G.W. SCHMIDSCHÖNBEIN, S.L-Y. WOO and B.W. ZWEIFACH [Eds.], Frontiers in Biomechanics, Springer-Verlag, 117-129, New York 1986.
12. J. STÅLHAND, A. KLARBRING and M. KARLSSON, Towards in vivo aorta material identification and stress estimation, Biomechanics and Modeling in Mechanobiology, 2, 169-186, 2004.
13. J. STÅLHAND and A. KLARBRING, Aorta in vivo parameter identification using an axial force constraint, Biomechanics and Modeling in Mechanobiology, 3, 191-199, 2005.
14. T. OLSSON, J. STÅLHAND and A. KLARBRING, Modeling initial strain distribution in soft tissues with application to arteries, Biomechanics and Modeling in Mechanobiology, 5, 27-38, 2006.
15. J.A. BLUME, Compatibility conditions for a left Cauchy-Green strain field, Journal of Elasticity, 21,271-308, 1989.
16. A. KLARBRING and T. OLSSON, On compatible strain with reference to biomechanics of soft tissue, ZAMM, 85, 6, 440-448, 2005.
17. P. STEINMANN, Views om multiplicative elastoplasticity and the continuum theory of dislocations, International Journal of Engineering Science, 34, 15, 1717-1735, 1996.
18. J.-F. GANGHOFFER and B. HAUSSY, Mechanical modeling of growth considering domain variation. Part I: Constitutive framework, International Journal of Solids and Structures, 42, 4311-4337, 2005.
19. B. SONNESON, T. LÄNNE, E. VERNERSSON and F. HANSEN, Sex difference in the mechanical properties of the abdominal aorta in human beings, J. Vac. Surg., 20, 959-969, 1994.
20. G.A. HOLZAPFEL, T.C. GASSER and R.W. OGDEN, New constitutive framework for arterial wall mechanics and a comparative study of material models, Journal of Elasticity, 61, 1-48, 2000.
21. J.E. MARSDEN and T.J.R. HUGHES, Mathematical Foundations of Elasticity, Prentice-Hall, New Jersey 1983.