THEORETICAL GROUND SHOCK EFFECTS. VOLUME II. APPLICATION OF GENERALIZED COORDINATES TO PLASTIC WAVE PROBLEMS.
Final rept. for Dec 65.
UNITED AIRCRAFT CORPORATE SYSTEMS CENTER EL SEGUNDO CALIF WEAPONS EFFECTS AND SUPPORT SYSTEMS DEPT
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Two generalized coordinate formulations of the equation of motion and two sets of constitutive relations for the elasto-plastic region surrounding a surface nuclear explosion are presented. The first generalized coordinate formulation is in terms of generalized displacements and has been programmed and tried. It is deficient because of the departure of the solution into the complex domain. The second formulation obviates this deficiency since the inertial terms are linear and the matrix of the highest order derivatives can always be made non-singular by proper choice of basis functions. The first set of constitutive equations is of the Coulomb-limiting shear type with many special cases. The second treatment is simpler as a result of the rounded corners of the yield surface expressed in terms of stress invariants. Author
- Soil Mechanics