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Integration of a particle-based homogenization theory into a general damage-based constitutive model to improve the modelling of void nucleation to coalescence

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Abstract

A novel framework and integration scheme has been developed to implement a secant-based homogenization theory for particle-reinforced plasticity into an existing damage-based constitutive model. In this approach, the material is envisaged as a three-phase composite composed of voids and particles embedded in a ductile matrix. Two successive homogenization theories (damage- and particle-based) are then applied to determine the macro-mechanical response of the material as well as the average stress state within the constituents as a function of the particle shape, composition and volume fraction. By identifying the stress state within the particles and the matrix, void nucleation can be accurately represented and the void growth and coalescence models are improved through knowledge of the stress state within the matrix. The performance of this loosely coupled model is analytically evaluated using idealized composite materials that contain inclusions of various shapes to elucidate the influence of the inclusion morphology on damage evolution and coalescence. The present work provides an efficient, albeit approximate, algorithm that can be readily included into existing damage-based constitutive models to improve their predictions of damage evolution, particularly related to void nucleation.

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Authors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Cliff Butcher & Michael Worswick

  2. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada

    Zengtao Chen

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  1. Cliff Butcher
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  2. Zengtao Chen
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  3. Michael Worswick
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Correspondence to Cliff Butcher.

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Butcher, C., Chen, Z. & Worswick, M. Integration of a particle-based homogenization theory into a general damage-based constitutive model to improve the modelling of void nucleation to coalescence. Acta Mech 224, 139–156 (2013). https://doi.org/10.1007/s00707-012-0740-y

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  • DOI: https://doi.org/10.1007/s00707-012-0740-y

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