A unified nonlocal theory for the phase-field modeling of fracture

Systematic analysis of damage irreversibility enforcement in phase-field fracture models

NUMERICAL MODELING OF PLANE FRAME VIBRATIONS TAKING INTO ACCOUNT NONLOCAL IN TIME ELASTIC PROPERTIES OF THE MATERIAL

This paper presents a model for the dynamic deformation of plane composite frames accounting for the time-nonlocal elastic behavior of the material. The time-nonlocal model, previously developed for beam elements, is extended to frame structures and implemented within the finite element method. The influence of the non...

Analysis validation of a new continuum model for the evolution of grain boundaries in polycrystalline materials

To describe the evolution of grain boundaries based on the underlying microscopic mechanisms of line defects (disconnections) and the integrated effects of a diverse range of thermodynamic driving forces, Zhang, et al. in 2017 formulated a continuum equation. We prove the global-in-time existence, uniqueness, and regul...

Spatiotemporal nonlocal behavior of fiber-reinforced thermodiffusive medium with rotation and temperature-dependent properties under three-phase-lag model

This study aims to predict the response in a fiber-reinforced thermodiffusive medium with rotation and temperature-dependent material characteristics on account of mechanical load. A mathematical framework of the governing equations is obtained by using three-phase-lag theory and space–time nonlocal elasticity....

Phase-Field Approximation of Vectorial Cohesive Models

We study the $\Gamma$-convergence of a general class of anisotropic phase-field functionals modelling cohesive fracture in the multidimensional, vector-valued, and geometrically nonlinear setting. The limiting energy comprises a quasiconvexified bulk term, a Cantor part governed by its recession function, and a cohesiv...

A Unified Configurational Framework for Interface and Bulk Defects in Eshelbian Linear Elasticity

Within the framework of Eshelbian mechanics and linear elasticity, we develop a kinematic and energetic formulation for treating different classes of defects. Central to the approach is a defect map, through which interface discontinuities and bulk material inhomogeneities are described within a common notation. The dr...