Skip to main content
SpringerLink
Log in

Crack growth in viscoelastic media with large strains: further results and validation of nonlinear theory for rubber

  • Research
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

A Correction to this article was published on 31 May 2023

This article has been updated

Abstract

This paper is a continuation of two recent publications on crack growth in viscoelastic media. It provides further theoretical results for large strains that enable prediction of crack opening displacement for comparison with experimental data in the region of the singularity. In order to achieve good agreement with experiment it was necessary to account for far-field viscoelasticity. Additionally, it is found that with large deformation throughout the singularity, the deformation consists of simple shearing and stretching normal to the crack plane. Thus, there is no significant displacement parallel to the crack plane; such simplicity exists for materials that stiffen or soften at high strains if the stress obeys a power law in strain at high strains. This finding means that, despite the frame-dependence of the theory, there is no local rotation in the singularity to affect the stress.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

Change history

References

  • Biot M (1965) Mechanics of incremental deformations. Wiley, New York

    Book  Google Scholar 

  • Ferry J (1980) Viscoelastic properties of polymers. Wiley, New York, p 1980

    Google Scholar 

  • Fung Y (1965) Fundamentals of solid mechanics. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  • Ha K, Schapery R (1998) A three-dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation. Int J Solids Struct 35:3497–3517

    Article  MATH  Google Scholar 

  • Mai T, Okuno K, Tsunoda K, Urayama K (2021) Anisotropic stress-softening effect on fast dynamic cracks in filler-reinforced elastomers. Mech Mater 155:103786. https://doi.org/10.1016/j.mechmat

    Article  Google Scholar 

  • Morishita Y, Tsunoda K, Urayama K (2016) Velocity transition in the crack growth dynamics of filled elastomers: contributions of nonlinear viscoelasticity. Phys Rev E 93:043001

    Article  Google Scholar 

  • Mullins L (1969) Softening of rubber by deformation. Rubber Chem Technol 42:339–362

    Article  Google Scholar 

  • Schapery R (1975) A theory of crack initiation and growth in viscoelastic media, Part II: Approximate methods of analysis. Int J Fract 11:369–388

    Article  Google Scholar 

  • Schapery R (1982) Models for Damage Growth and Fracture in Nonlinear Viscoelastic Particulate Composites. Proc. Ninth U.S. National Congress of Applied Mechanics, ASME Book No. H0028, 237-245

  • Schapery R (1984) Correspondence principles and a generalized J integral for largedeformation and fracture analysis of viscoelastic media. Int J Fract 25:195–223

    Article  Google Scholar 

  • Schapery R (1999) Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage. Int J Fract 97:33–66

    Article  Google Scholar 

  • Schapery R (2022a) A theory of viscoelastic crack growth-revisited. Int J Fract 233:1–16. https://doi.org/10.1007/s10704-021-00605-z

    Article  Google Scholar 

  • Schapery R (2022b) Stable and unstable viscoelastic crack growth: experimental validation of nonlinear theory for rubber. Int J Fract. https://doi.org/10.1007/s10704-022-00639-x

    Article  Google Scholar 

  • Schapery R, Park S (1999) Methods of interconversion between linear viscoelastic material functions. Part II approximate analytical method. Int J Solids Struct 36:1677–1699

    Article  MATH  Google Scholar 

  • Urayama K (2022). email communication.

  • Williams M (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24:109–114

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aerospace Engineering and Engineering Mechanics, The University of Texas, Austin, TX, USA

    R. A. Schapery

Authors
  1. R. A. Schapery
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

R.A. Schapery is the sole author.

Corresponding author

Correspondence to R. A. Schapery.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The original version of this article was corrected: values in Table 1 were corrected and section 5.8 was replaced with a new version.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Schapery, R.A. Crack growth in viscoelastic media with large strains: further results and validation of nonlinear theory for rubber. Int J Fract 241, 121–139 (2023). https://doi.org/10.1007/s10704-023-00696-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-023-00696-w

Keywords

Search

Navigation