Abstract
A method is outlined for the determination of cohesive zone properties in soft materials. The goal of the study was to extend earlier work assuming linear kinematics and linear elasticity to include non-linear kinematics and finite elasticity. Explicit results for cohesive traction determination are given and discussed. A comparison is made between expressing the cohesive law in a Lagrangian or an Eulerian description, respectively. Some implications of either choice are discussed. Two suitable geometries for experimental use are analysed as examples of the method.
Similar content being viewed by others
References
T. Andersson U. Stigh (2004) ArticleTitleThe stress-elongation relation for an adhesive layer loaded in peel using equilibrium of energetic forces International Journal of Solids and Structures 41 413–434 Occurrence Handle10.1016/j.ijsolstr.2003.09.039
M.W. Carson M.R. Roach (1990) ArticleTitleThe strength of the aortic media and its role in the propagation of aortic dissection Journal of Biomechanics 23 579–588 Occurrence Handle10.1016/0021-9290(90)90050-D
J.D. Eshelby (1970) Energy relations and the energy-momentum tensor in continuum mechanics M.F. Kanninen W.F. Adler A.R. Rosenfield R.I. Jaffee (Eds) Inelastic Behaviour of Solids McGraw-Hill New York 77–115
T.C. Gasser G.A. Holzapfel (2005) ArticleTitleModeling 3D crack propagation in unreinforced concrete using PUFEM Computer Methods in Applied Mechanics & Engineering 194 2859–2896
A.N. Gent (1972) Fracture of elastomers H. Liebowitz (Eds) Fracture, An advanced treatise NumberInSeriesVol. VII Academic Press New York 316–350
A.N. Gent (1996) ArticleTitleAdhesion and strength of viscoelastic solids. Is there a relationship between adhesion and bulk properties? Langmuir 12 4492–4496 Occurrence Handle10.1021/la950887q
N.F. MacLean N.L. Dudek M.R. Roach (1999) ArticleTitleThe role of radial elastic properties in the development of aortic dissections Journal of Vascular Surgery 29 703–710 Occurrence Handle10.1016/S0741-5214(99)70317-4
A. Needleman (1990) ArticleTitleA continuum model for void nucleation by inclusion debonding Journal of Applied Mechanics 54 523–531
F. Nilsson (1977) ArticleTitleThe infinite strip with a semi-infinite crack, static and dynamic considerations SM Archieves 2 205–261 Occurrence Handle0404.73087 Occurrence Handle56 #7418
P. Olsson U. Stigh (1989) ArticleTitleOn the determination of constitutive properties of thin interphase layers – an exact inverse solution International Journal of Fracture 41 R71–R75 Occurrence Handle10.1007/BF00018870
M. Ortiz A. Pandolfi (1999) ArticleTitleFinite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis International Journal for Numerical Methods in Engineering 44 1267–1282 Occurrence Handle10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
R.S. Rivlin A.G. Thomas (1952) ArticleTitleRupture of rubber. I. Characteristic energy for tearing Journal of Polymer Science 10 231–318
B.F. Sørensen E.K. Jacobsen (1998) ArticleTitleLarge-scale bridging in composites: R-curves and bridging laws Composites Part A 29 1442–1451 Occurrence Handle10.1016/S1359-835X(98)00025-6
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nilsson, F. A Tentative Method for Determination of Cohesive Zone Properties in Soft Materials. Int J Fract 136, 133–142 (2005). https://doi.org/10.1007/s10704-005-5125-y
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10704-005-5125-y