Micromechanical modeling on effect of crack tip rubber particle cavitational process in polymer toughening
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A simplified micromechanical modeling of the crack tip rubber particle cavitational process is conducted using the combinations of Irwin's crack tip stress intensity factor analysis, slip-line field theory, and Dewey's closed-form elastic solutions. This unique micromechanical modeling provides fruitful insights concerning the possible role the rubber particles play in front of a constrained (plane strain) crack tip. The results of the micromechanical modeling suggest that both the preexisting holes and the occurrence of cavitation in the rubber particles in front of the crack tip serves (1) to relieve the plane strain constraint, (2) to promote shear yielding/banding of the matrix, and (3) to concentrate the stress. Experimental observations of toughening mechanisms of various rubber-modified polymers support the micromechanical analyses.
