Fracture Optimization Publications

Publications in Fracture Optimization

Explore the most influential research papers and scholarly works that have shaped Fracture Optimization. Use the concept filter below to focus on a specific sub-area of research.

Fracture Optimization

2.2K

Publications

138.4K

Citations

Showing yearly statistics from 2000-2026.

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	Year	Citations
On the Stress Distribution at the Base of a Stationary Crack M. L. Williams Journal of Applied Mechanics EngineeringFracture OptimizationMechanical EngineeringStationary CrackFracture Modeling	1957	3.3K
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations Christian Miehé, Fabian Welschinger, Martina Hofacker International Journal for Numerical Methods in Engineering EngineeringFracture OptimizationMultiscale MechanicsMechanical EngineeringSharp Crack Topology	2010	2.6K
Virtual crack closure technique: History, approach, and applications Ronald Krueger Applied Mechanics Reviews EngineeringFracture OptimizationStructural CrashworthinessMechanical EngineeringStructural Application	2004	1.5K
The extended/generalized finite element method: An overview of the method and its applications Thomas‐Peter Fries, Ted Belytschko International Journal for Numerical Methods in Engineering Numerical AnalysisEngineeringFracture OptimizationMechanical EngineeringAccurate Approximation	2010	1.4K
Achieving minimum length scale in topology optimization using nodal design variables and projection functions James K. Guest, Jean H. Prévost, Ted Belytschko International Journal for Numerical Methods in Engineering Numerical AnalysisLarge-scale Global OptimizationEngineeringFracture OptimizationMultidisciplinary Design Optimization	2004	1.2K
A Critical Evaluation of Indentation Techniques for Measuring Fracture Toughness: II, Strength Method P. Chantikul, G. R. Anstis, Brian R. Lawn, Journal of the American Ceramic Society EngineeringFracture OptimizationMechanical EngineeringHardnessCeramic Powders	1981	1.2K
Filters in topology optimization Blaise Bourdin International Journal for Numerical Methods in Engineering Numerical AnalysisMesh OptimizationEngineeringFracture OptimizationContinuous Optimization	2001	1.1K
Crack tip finite elements are unnecessary R.D. Henshell, K. G. Shaw International Journal for Numerical Methods in Engineering EngineeringFracture OptimizationMechanical EngineeringResidual StressDefect Tolerance	1975	1.1K
On the Fracture Toughness of Advanced Materials Maximilien E. Launey, Robert O. Ritchie Advanced Materials EngineeringMultiscale MechanicsFracture OptimizationMechanical EngineeringBiological Materials	2009	902
A new method for modelling cohesive cracks using finite elements Garth N. Wells, L.J. Sluys International Journal for Numerical Methods in Engineering EngineeringMultiscale MechanicsFracture OptimizationMechanical EngineeringConventional Finite Elements	2001	887
Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts Mark Kachanov Applied Mechanics Reviews EngineeringFracture OptimizationCritical ReviewMechanical EngineeringCracked Solids	1992	849
Modelling crack growth by level sets in the extended finite element method Magdalena Stolarska, David L. Chopp, Nicolas Moës, International Journal for Numerical Methods in Engineering EngineeringFracture OptimizationMechanical EngineeringStructural OptimizationComputational Mechanics	2001	771

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