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The course starts from the common ground of introductory metal plasticity constitutive modeling and successively builds on this base adding the constitutive modeling features necessary to model concrete & geomaterials.

The LS-DYNA constitutive models covered are adequate for modeling most types of rock, all concretes, and a large class of soils.

In the early 1990’s, while working for APTEK, Inc., and as a consultant, he co-developed with Yvonne Murray the Continuous Surface Cap Model for application in the Underground Technology Program of the then-named Defense Nuclear Agency; this model is implemented in DYNA3D (Material Type 37) and in LS-DYNA Version 970 (MAT145).Constitutive models for concrete & geomaterials (rock and soil) are typically based on the same mathematical plasticity theory framework used to model common metals.However, the constitutive behavior of concrete & geomaterials differs from that of metals in three important ways: These basic differences give rise to interesting aspects of constitutive modeling that may not be familiar to engineers trained in classical metal plasticity.To achieve this goal, various storage schemes have been proposed to encode the tree structure of XML documents in flat relational tables. Basically, two classes can be identified: (1) encodings using fixed-length surrogates, like the preorder ranks in the pre/post encoding [5] or the equivalent pre/size/level encoding [8], and (2) encodings using variable-length surrogates, like, e.g., ORDPATH [9] or P-PBi Tree [12].

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