3/18/2002, Monday Energy Approach to Fracture. Double Cantilever Beam (DCB) If the crack extends by an amount da, the necessary additional surface energy.

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3/18/2002, Monday Energy Approach to Fracture

Double Cantilever Beam (DCB) If the crack extends by an amount da, the necessary additional surface energy is obtained from the work done by the external body forces Pdu and the release of strain energy dW. W is the strain energy of DCB

Body Stiffness M Crack extension would result in a decrease of plate stiffness

Energy Release Rate

Force Deflection Relation From Mechanics of Materials, Elementary simple beam problem,

Fixed Loading

Fixed Grip

Energy Release Rate

J-Integral Reversibility of stress-strain relationship

Path Independent For a closed contour:

Crack Tip Mesh