forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
945a2076c3
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
12 lines
853 B
Markdown
12 lines
853 B
Markdown
# Hertz line contact: cylinder on a flat (implicit mortar contact)
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A steel cylinder of radius R = 10 mm pressed on a steel block (E = 210 GPa, ν = 0.3; mm, N, MPa)
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in plane strain: a quarter model of the cylinder's lower part (a 2.5 mm wide block whose bottom
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is the circular arc, graded towards the contact) on a 5 × 5 mm foundation, symmetric about
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x = 0, one element thick with every node held in z. A pressure on the indenter's top carries
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the load P = 2265.57 N/mm (per length of the whole cylinder) chosen so that Hertz's half-width is
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b = 0.5 mm and the peak pressure p₀ = 2884.6 MPa. Soft springs (0.01 N/mm per node) hold the
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indenter's top vertically until the contact closes. One nonlinear static step without nonlinear
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geometry: small sliding, mortar contact of the round face (secondary) on the flat (main) by an
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augmented Lagrangian.
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