แนวคิดหลัก
The author presents a time-adaptive finite element phase-field model for rate-independent fracture mechanics, focusing on balanced viscosity solutions to predict physically reasonable energy trajectories.
บทคัดย่อ
The content discusses the modeling of cracks using phase-field models in engineering and mathematics. It highlights the challenges of crack propagation, the importance of solution concepts like Balanced Viscosity solutions, and the numerical implementation of the proposed model. The paper emphasizes the predictive capabilities, efficiency, and robustness of the algorithm through numerical examples.
สถิติ
"Focusing on a rate-independent setting, these models are defined by a unidirectional gradient-flow of an energy functional."
"Numerical examples highlight the predictive capabilities of the model and show the efficiency and robustness of the final algorithm."
"The energy defining the phase-field model of rate-independent fracture is non-convex."
"Global energetic solutions capture crack initiation but may predict it too early."
"An algorithm is proposed that avoids physically unreasonable predictions by approximating Balanced Viscosity solutions."