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August 16, 2026Journal of Applied MechanicsOpen Access

The Size-dependence of Plane Strain Fracture Toughness: A Mechanistic Analysis by Enforcing Constant Crack Tip Fracture Stress and Scaling Laws

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Authors

KCK.S. Ravi Chandran

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Overview

Analytical modeling demonstrates crack and specimen size dependence of fracture toughness across diverse materials, highlighting constant crack tip stress for scaling to large structures.

Key Points

  • Provide a mechanistic explanation for the strong dependence of plane strain fracture toughness on crack size and specimen dimensions under linear-elastic fracture mechanics conditions.
  • Formulated a net-section elastic deformation analysis enforcing constant crack tip fracture stress across varying crack lengths and specimen widths.
  • Evaluated theoretical scaling expressions against experimental single-edge-notched-bend (SENB) test data from a diverse set of brittle and ductile materials.
  • Demonstrated that plane strain fracture toughness varies with crack and specimen size as a direct result of changes in stored net-section elastic strain energy.
  • Showed that fracture consistently initiates at a constant crack tip stress that closely matches tensile strength in most materials, enabling accurate toughness scaling from lab specimens to large structural components.

Cite This Study

K.S. Ravi Chandran (2026) studied this question.

synapsesocial.com/papers/6a81799af2fb91fc834acbdbhttps://doi.org/10.1115/1.4072573
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