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Stationary and propagating cracks in a strain gradient visco-plastic solid

Seiler, Philipp E., Siegmund, Thomas, Zhang, Yang, Tomar, Vikas, Kruzic, Jamie J. (2016) Stationary and propagating cracks in a strain gradient visco-plastic solid. International Journal of Fracture, 202 (1). pp. 111-125. ISSN 0376-9429. E-ISSN 1573-2673. (doi:10.1007/s10704-016-0148-0) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:89805)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
https://doi.org/10.1007/s10704-016-0148-0

Abstract

A first order visco-plastic strain gradient constitutive model and a cohesive zone formulation are embedded within a modified boundary layer (MBL) model for the analysis of crack tip fields and crack growth. The MBL model is loaded using a mode I asymptotic crack tip solution, with the boundary displacement calculated from the stress intensity factor. The influence of the rate-dependent constitutive parameters and the intrinsic material length on fracture relevant quantities are investigated in parametric study. Two scenarios are considered: (1) a stationary crack under constant loading and (2) a crack advance under monotonic loading. Finite element model analyzes are performed. For stationary cracks it was found that the effects of the intrinsic lengthscale of the strain gradient plasticity model are more prominent for large visco-plastic power exponents, and increase with hold time. The results of computations of crack advances under monotonic loading suggest that plastic strain gradients reduce crack growth resistance and crack initiation toughness, especially for a large visco-plastic power exponent. For small values of intrinsic material length the dependence of the initiation toughness and tearing modulus on the intrinsic length is strong, but then saturates for large values of intrinsic material length. Loading rate effects are found to be more pronounced for cases with a small value of the intrinsic lengthscale.

Item Type: Article
DOI/Identification number: 10.1007/s10704-016-0148-0
Uncontrolled keywords: Strain gradients; Visco-plasticity; Crack growth; Crack tip fields
Subjects: T Technology > TJ Mechanical engineering and machinery
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User: A. Boaler
Date Deposited: 16 Aug 2021 11:52 UTC
Last Modified: 17 Aug 2021 09:45 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/89805 (The current URI for this page, for reference purposes)
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