The first case consists of a sixth-order Reissner plate theory which includes the effects of transverse shear deformation. The loading on the plate is general such that all the three crack modes are present. Analytical results for asymptotically singular bending moments, twisting moments, and shear force near the crack-tip are built-in to the assumed stresses in elements near the crack-tip. The present finite element procedure leads to matrix equations with the nodal displacements of the structure, as well as the three stress intensity factors for each mode of crack-tip behavior, as unknowns to be solved for directly. The second case is concerned with thin plates with through-the-thickness cracks subjected to out-of-plane bending. Kirchhoff hypothesis can be employed here and only bending and twisting modes exist at the crack tip. The special elements are polygonal-shaped with an imbedded crack, and in the matrix equations only the nodal displacements are unknowns.
|State||Published - Jan 1 2017|
|Event||Unknown conference - San Francisco, CA, USA|
Duration: Aug 15 1977 → Aug 19 1977
|City||San Francisco, CA, USA|
|Period||08/15/77 → 08/19/77|