Perturbed Convex Combination Method: A New Approach for Closed‐Form Crack Propagation Solutions

Key Points

• The aim is to present a new method for obtaining closed-form solutions to crack propagation problems.
• Introduced a perturbed convex combination approach for modeling crack behaviors.
• Developed mathematical techniques to derive solutions.
• Analyzed the implications of the method on existing theoretical frameworks.
• Achieved novel closed-form solutions for specific crack propagation scenarios.
• Demonstrated significant improvements over traditional methods in certain cases.