A simple cohesive zone model that generates a mode-mixity dependent toughness

Reedy, Jr., E. D.; Emery, J. M.

doi:10.1016/j.ijsolstr.2014.07.007

Title: A simple cohesive zone model that generates a mode-mixity dependent toughness

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Abstract

A simple, mode-mixity dependent toughness cohesive zone model (MDG_c CZM) is described. This phenomenological cohesive zone model has two elements. Mode I energy dissipation is defined by a traction–separation relationship that depends only on normal separation. Mode II (III) dissipation is generated by shear yielding and slip in the cohesive surface elements that lie in front of the region where mode I separation (softening) occurs. The nature of predictions made by analyses that use the MDG_c CZM is illustrated by considering the classic problem of an elastic layer loaded by rigid grips. This geometry, which models a thin adhesive bond with a long interfacial edge crack, is similar to that which has been used to measure the dependence of interfacial toughness on crack-tip mode-mixity. The calculated effective toughness vs. applied mode-mixity relationships all display a strong dependence on applied mode-mixity with the effective toughness increasing rapidly with the magnitude of the mode-mixity. The calculated relationships also show a pronounced asymmetry with respect to the applied mode-mixity. As a result, this dependence is similar to that observed experimentally, and calculated results for a glass/epoxy interface are in good agreement with published data that was generated using a test specimen of themore » same type as analyzed here.« less

Authors:: Reedy, Jr., E. D.; Emery, J. M.

Publication Date:: Wed Oct 01 00:00:00 EDT 2014

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1380004

Alternate Identifier(s):: OSTI ID: 1140334

Report Number(s):: SAND-2014-1162J
Journal ID: ISSN 0020-7683; S0020768314002753; PII: S0020768314002753

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Published Article

Journal Name:: International Journal of Solids and Structures

Additional Journal Information:: Journal Name: International Journal of Solids and Structures Journal Volume: 51 Journal Issue: 21-22; Journal ID: ISSN 0020-7683

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; interfacial fracture; cohesive zone model

Citation Formats


                    Reedy, Jr., E. D., and Emery, J. M. A simple cohesive zone model that generates a mode-mixity dependent toughness.  United States: N. p., 2014. 
Web.  doi:10.1016/j.ijsolstr.2014.07.007.

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                    Reedy, Jr., E. D., & Emery, J. M. A simple cohesive zone model that generates a mode-mixity dependent toughness.  United States.  https://doi.org/10.1016/j.ijsolstr.2014.07.007

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                    Reedy, Jr., E. D., and Emery, J. M. Wed .  
"A simple cohesive zone model that generates a mode-mixity dependent toughness".  United States.  https://doi.org/10.1016/j.ijsolstr.2014.07.007.

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@article{osti_1380004,

  title        = {A simple cohesive zone model that generates a mode-mixity dependent toughness},

  author       = {Reedy, Jr., E. D. and Emery, J. M.},

  abstractNote = {A simple, mode-mixity dependent toughness cohesive zone model (MDGc CZM) is described. This phenomenological cohesive zone model has two elements. Mode I energy dissipation is defined by a traction–separation relationship that depends only on normal separation. Mode II (III) dissipation is generated by shear yielding and slip in the cohesive surface elements that lie in front of the region where mode I separation (softening) occurs. The nature of predictions made by analyses that use the MDGc CZM is illustrated by considering the classic problem of an elastic layer loaded by rigid grips. This geometry, which models a thin adhesive bond with a long interfacial edge crack, is similar to that which has been used to measure the dependence of interfacial toughness on crack-tip mode-mixity. The calculated effective toughness vs. applied mode-mixity relationships all display a strong dependence on applied mode-mixity with the effective toughness increasing rapidly with the magnitude of the mode-mixity. The calculated relationships also show a pronounced asymmetry with respect to the applied mode-mixity. As a result, this dependence is similar to that observed experimentally, and calculated results for a glass/epoxy interface are in good agreement with published data that was generated using a test specimen of the same type as analyzed here.},

  doi          = {10.1016/j.ijsolstr.2014.07.007},

  journal      = {International Journal of Solids and Structures},

  number       = 21-22,

  volume       = 51,

  place        = {United States},

  year         = {Wed Oct 01 00:00:00 EDT 2014},

  month        = {Wed Oct 01 00:00:00 EDT 2014}

}

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