Title
Dynamic damage propagation with memory: A state-based model
Document Type
Article
Publication Date
1-10-2019
Abstract
A model for dynamic damage propagation is developed using nonlocal potentials. The model is posed using a state-based peridynamic formulation. The resulting evolution is seen to be well posed. At each instant of the evolution, we identify a damage set. On this set, the local strain has exceeded critical values either for tensile or hydrostatic strain, and damage has occurred. The damage set is nondecreasing with time and is associated with damage state variables defined at each point in the body. We show that a rate form of energy balance holds at each time during the evolution. Away from the damage set, we show that the nonlocal model converges to the linear elastic model in the limit of vanishing nonlocal interaction.
Publication Source (Journal or Book title)
Handbook of Nonlocal Continuum Mechanics for Materials and Structures
First Page
1495
Last Page
1523
Recommended Citation
Lipton, R., Said, E., & Jha, P. (2019). Dynamic damage propagation with memory: A state-based model. Handbook of Nonlocal Continuum Mechanics for Materials and Structures, 1495-1523. https://doi.org/10.1007/978-3-319-58729-5_45