Toughness arising from inherent strength of polymers

Abstract

This study carries out spatial-resolved optical birefringence observations to quantify, for mode I (tensile opening) loading, the stress intensification at crack tip of brittle and ductile glassy polymers (polymethyl methacrylate—PMMA, polyethylene terephthalate—PET) as well as one type of elastomer: (ethylene propylene diene monomer—EPDM). We measure the stress buildup in a precut specimen by correlating retardation with the corresponding tensile stress. Given the adequate spatial resolution under 10μm and natural bluntness of intentional through-cuts, we are able to show that (a) during drawing at different stages up to the onset of fracture in precut PMMA and EPDM, the local stress saturates, namely, ceases to increase as r−1/2 upon approaching the cut tip (with r reaching rss in a range of 0.05–0.15 mm), (b) tip stress σtip, i.e., the tensile stress in the stress saturation zone (r≤rss), linearly grows with (operationally defined) stress intensity factor KI until fracture, reaching a level below the breaking stress σb observed of uncut specimen. Thus, the inherent strength σF(inh) under plane strain, taken to be the tip stress at fracture is only comparable to σb. Moreover, a characteristic length P, involved in the observed linearity between KI and σtip, i.e., in KI=σtipP1/2, is found to be comparable to 2πrss. Here rss appears to depend on the tip sharpness, which may be characterized by a radius of curvature ρtip. Thus, toughness given by the critical stress intensity factor KIc is determined by the product of σF(inh) and ρtip1/2, and the critical energy release rate GIc is given by the product of specific work of fracture wF = [σF(inh)]2/2E and ρtip.