ANALYTICAL SOLUTIONS OF FULLY PLASTIC CRACK-TIP HIGHER-ORDER FIELDS UNDER ANTIPLANE SHEAR

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.