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INTRODUCTION
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THEORY
Introduction to Fracture and Griffith Theory
Fracture Propagation as a Variational Problem
Phase-Field Regularization of Griffith Fracture
Euler-Lagrange Equations and Governing PDEs
Fracture Nucleation and Strength Surface Concepts
Generalized Phase-Field Models for Fracture Nucleation
Generalization to Ductile Fracture
NUMERICAL IMPLEMENTATION
Weak Form and Finite Element Formulation
Staggered Solution Strategy for Coupled PDEs
Regularization Length Scale, Mesh Size, and Irreversibility
Calibration of Toughness and Strength Parameters
Adaptive Mesh Refinement for Phase-Field Fracture
SIMULATION EXAMPLES
Double Cantilever Beam Problem for Fracture Propagation
Fracture Nucleation Under Torsion
Brazilian Fracture Test and Crack Nucleation
Indentation Fracture with a Cylindrical Indenter
Mixed-Mode Fracture Propagation in Bending
Dynamic Crack Branching Simulation
Fracture in Elastomeric Specimens
Thermal Quenching and Fracture of a Plate
Phase-Field Fracture: From Theory to Simulation
SIMULATION EXAMPLES
Fracture in Elastomeric Specimens
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