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A model of isotropic damage with strain-gradient effects: existence and uniqueness of weak solutions for progressive damage processes

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We propose a linearized model for isotropic damage with strain-gradient effects in the small-strain isothermal regime. We account for pressure-confinement effects induced by spatial variations of volume changes, which might… Click to show full abstract

We propose a linearized model for isotropic damage with strain-gradient effects in the small-strain isothermal regime. We account for pressure-confinement effects induced by spatial variations of volume changes, which might locally determine a self-healing-type behavior. We prove the existence and uniqueness of weak solutions under conditions of progressive damage.

Keywords: model isotropic; strain gradient; gradient effects; isotropic damage; damage; damage strain

Journal Title: Mathematics and Mechanics of Solids
Year Published: 2019

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