Abstract
This peper is to propose a method of deriving stress functions with finite stress concentration at crack tips in an isotropic and homogenious plate which is applied uniform tensile or shearing stresses, etc. at infinity. By smoothing Westergaard's solution, stress functions constructing corresponding parts of process zone are derived. In this way, 12 sets of fundamental solutions are derived, it is shown that by combining the solutions adequately or adjusting the length of process zone, finite and smooth stress concentrations are constructed and the various forms of opening displacements are expressed. Proposed functions are usably applied for the analysis of numerical simulations for fracture or development of cracks in concrete or rock.
