Fg. Yuan et S. Yang, ANALYTICAL SOLUTIONS OF FULLY PLASTIC CRACK-TIP HIGHER-ORDER FIELDS UNDER ANTIPLANE SHEAR, International journal of fracture, 69(1), 1994, pp. 1-26
Analytical solutions of higher order fields in a fully plastic power-l
aw hardening material are presented. By the use of hodograph transform
ation and asymptotic analysis the stress and strain exponents, angular
distributions of shear stresses and strains are analytically determin
ed. Special cases, such as linearly elastic, perfectly plastic materia
ls are discussed. Similar characteristics between mode III and mode I
plane strain, and mode II plane stress are examined. Comparison of fou
r-term asymptotic solutions with exact and leading term solutions in a
n infinite strip with a semi-infinite crack under constant displacemen
ts along its edges is provided.