forked from 1b-agent/fieldcraft-upstream
Two oracle cases: the contact patch test on non-matching meshes in small and finite sliding, and Hertz's cylinder on a flat under force control (peak pressure, pressure distribution, subsurface stress). docs/fem.md describes the formulation, the literature survey its papers; ROADMAP M7 and parity are updated. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
11 lines
819 B
Markdown
11 lines
819 B
Markdown
# Contact patch test (implicit mortar contact, non-matching meshes)
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Two unit cubes stacked along z, meshed independently: 3 × 3 × 2 hex8 below (graded in x and y),
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2 × 2 × 2 above, so the nodes of the interface at z = 1 do not match. A frictionless contact pair
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joins the lower block's top (main) and the upper block's bottom (secondary). The faces x = 0 and
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y = 0 of both blocks are symmetry planes, the base z = 0 is held in z, and the top z = 2 is pushed
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down by 0.02 (E = 1000, ν = 0.3) in two nonlinear static steps: `Small` without nonlinear
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geometry (small sliding, mortar integrals in the reference configuration) and `Finite` with it
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(finite sliding, searched and integrated on the deformed faces). The exact state is uniaxial
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stress, uniform in both blocks, with a uniform contact pressure equal to it.
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