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Cohesive Crack Model with Rate-Dependent Opening and Viscoelasticity: II. Numerical Algorithm, Behavior and Size Effect

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Abstract

In the preceding companion paper (Bažant and Li, 1995), the solution of an aging viscoelastic law was structure containing a cohesive crack with a rate-dependent stress-displacement softening law was reduced to a system of one-dimensional integro-differential equations involving compliance functions for points on the crack faces and the load point. An effective numerical algorithm for solving these equations, which dramatically reduces the computer time compared to the general two-dimensional finite element solution, is presented. The behavior of the model for various loading conditions is studied. It is shown that the model can closely reproduce the available experimental data from fracture tests with different loading rates spanning several orders of magnitude, and tests with sudden changes of the loading rate. Influence of the loading rate on the size effect and brittleness is also analyzed and is shown to agree with experiments.

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Authors and Affiliations

  1. Department of Civil Engineering, Northwestern University, Evaston, Illinois, 60208, U.S.A

    Yuan-Neng Li & Zdeněk P. Bažant

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  1. Yuan-Neng Li
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  2. Zdeněk P. Bažant
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Li, YN., Bažant, Z.P. Cohesive Crack Model with Rate-Dependent Opening and Viscoelasticity: II. Numerical Algorithm, Behavior and Size Effect. International Journal of Fracture 86, 267–288 (1997). https://doi.org/10.1023/A:1007497104557

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  • DOI: https://doi.org/10.1023/A:1007497104557

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