Preferred finite difference schemes in one, two, and three space dimensions are described for solving the three fundamental equations of mechanics (conservation of mass, conservation of momentum, and conservation of energy). Models of the behavior of materials provide the closure to the three fundamentals equations for applications to problems in compressible fluid flow and solid mechanics. The use of Lagrange coordinates permits the history of mass elements to be followed where the integrated effects of plasticity and external loads change the material physical properties. Models of fracture, including size effects, are described. The detonation of explosives is modelled following the Chapman--Jouget theory with equations of state for the detonation products derived from experiments. An equation-of-state library for solids and explosives is presented with theoretical models that incorporate experimental data from the open literature. The versatility of the simulation programs is demonstrated by applications to the calculations of surface waves from an earthquake to the shock waves from supersonic flow and other examples.

Klappentext

A description of computer programs for simulating phenomena in hydrodynamics, gas dynamics, and elastic plastic flow in one, two, and three dimensions. The text covers Maxwell's equations, and thermal and radiation diffusion, while the numerical procedures described permit the exact conservation of physical properties in the solutions of the fundamental laws of mechanics. The author also treats materials, including the use of simulation programs to predict material behavior.

Inhalt

1. Elements of Fluid Mechanics.- 2. Numerical Techniques.- 3. Modeling the Behavior of Materials.- 4. Two-Dimensional Elastic-Plastic Flow.- 5. Sliding Interfaces in Two Dimensions.- 6. Elastic-Plastic Flow in Three Space Dimensions.- 7. Sliding Surfaces in Three Dimensions.- 8. Magnetohydrodynamics of HEMP.- Appendices.- A. Effect of a Second Shock on the Principal Hugoniot.- B. Finite Difference Program for One Space Dimension and Time.- B.1 Fundamental Equations.- B.2 Finite Difference Equations.- B.3 Boundary Conditions.- B.4 Opening and Closing Voids.- C. A Method for Determining the Plastic Work Hardening Function.- C.1 Application to 6061-T6 Aluminum.- D. Detonation of a High Explosive for a ?-Law Equation of State.- E. Magnetic Flux Calculation.- F. Thermal Diffusion Calculation.- References.