TABLE OF CONTENTS / Summary / Tension Test / Tension via Standard Molecular Dynamics / Initial and Boundary Conditions for Tension / Tension Test via SPAM-like Molecular Dynamics / Tension Test via SPAM / Penetration and Failure Algorithms / Penetration via Finite Elements / Penetration via Standard Molecular Dynamics / Penetration via SPAM-like Molecular Dynamics / Penetration via SPAM / Research Suggestion /
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Solid-phase simulations, particularly those involving "slow" processes (slow relative to the sound velocity), are particularly challenging problems in view of the instabilities discussed in the preceding Chapter. Here we discuss two problems, one slow and tensile, the other fast and mainly compressive, in order to clarify the distinction and to illustrate the difficulties which can arise. Though these same problems can be solved using standard molecular dynamics, we will see that the atomistic structures required for a realistic yielding response require impractically large specimens. For this reason the problem types treated here are intrinsically continuum problems. Nevertheless, in both the problem types explored here a tension test and the penetration of a plate by a fast-moving ball we explore both the atomistic and the smooth-particle approaches as well as a hybrid "SPAM-like molecular dynamics". Such solid-phase studies represent a particularly fertile area for development of novel SPAM algorithms and constitutive relations along the lines of the proposals of Chapter 8 .
The "tension test", in which a cylinder, or bar, of material is...
