Skip to main content

Growth in Soft Biological Tissue and Residual Stress Development

  • Chapter
Mechanics of Biological Tissue

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Epstein, M., and Maugin, G. A. (2000). Thermomechanics of volumetric growth in uniform bodies. Int. J. Plasticity 16:951–978.

    Article  MATH  Google Scholar 

  • Holzapfel, G. A., Gasser, T. C., and Ogden, R. W. (2000). A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity 61:1–48.

    Article  MathSciNet  MATH  Google Scholar 

  • Holzapfel, G. A. (2000). Nonlinear Solid Mechanics. A Continuum Approach for Engineering. Chichester: John Wiley & Sons.

    MATH  Google Scholar 

  • Kuhl, E., and Steinmann, P. (2003). Mass-and volume-specific views on thermodynamics for open systems. Proc. R. Soc. Lond. A 459:2547–2568.

    MathSciNet  MATH  Google Scholar 

  • Lubarda, V. A., and Hoger, A. (2002). On the mechanics of solids with a growing mass. Int. J. Solids Structures 39:4627–4664.

    Article  MATH  Google Scholar 

  • Matsumoto, T., and Hayashi, K. (1994). Mechanical and dimensional adaptation of rat aorta to hypertension. J. Biomech. Eng. 116:278–283.

    Google Scholar 

  • Ogden, R. W., and Schulze-Bauer, C. A. J. (2000). Phenomenological and structural aspects of the mechanical response of arteries. In Casey, J., and Bao, G., eds., Mechanics in Biology. New York: The American Society of Mechanical Engineers (ASME). AMD-Vol. 242/BED-Vol. 46, pp. 125–140.

    Google Scholar 

  • Ogden, R. W. (2003a). Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue. In Holzapfel, G. A., and Ogden, R. W., eds., Biomechanics of Soft Tissue in Cardiovascular Systems, 65–108. Wien: Springer-Verlag. CISM Courses and Lectures No. 441, International Centre for Mechanical Sciences.

    Google Scholar 

  • Ogden, R. W. (2003b). Nonlinear Elasticity with Application to Material Modelling. Warsaw: Polish Academy of Sciences. Lecture Notes 6, Institute of Fundamental Technological Research.

    Google Scholar 

  • Rachev, A., Stergiopulos, N., and Meister, J.-J. (1998). A model for geometric and mechanical adaptation of arteries to sustained hypertension. J. Biomech. Eng. 120:9–17.

    Google Scholar 

  • Rachev, A. (2003). Remodeling of arteries in response to changes in their mechanical environment. In Holzapfel, G. A., and Ogden, R. W., eds., Biomechanics of Soft Tissue in Cardiovascular Systems, 221–271. Wien: Springer-Verlag. CISM Courses and Lectures No. 441, International Centre for Mechanical Sciences.

    Google Scholar 

  • Rodriguez, E. K., Hoger, A., and McCulloch, A. D. (1994). Stress-dependent finite growth in soft elastic tissues. J. Biomech. 27:455–467.

    Article  Google Scholar 

  • Skalak, R., Dasgupta, G., Moss, M., Otten, E., Dullemeijer, P., and Vilmann, H. (1982). Analytical description of growth. J. Theoret. Biol. 94:555–577.

    Article  MathSciNet  Google Scholar 

  • Taber, L. A. (1995). Biomechanics of growth, remodelling, and morphognesis. Appl. Mech. Rev. 48:487–543.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Guillou, A., Ogden, R.W. (2006). Growth in Soft Biological Tissue and Residual Stress Development. In: Holzapfel, G.A., Ogden, R.W. (eds) Mechanics of Biological Tissue. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31184-X_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-31184-X_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25194-1

  • Online ISBN: 978-3-540-31184-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics