forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
6baa189231
One constant pressure per element (mean dilatation, Nagtegaal, Parks & Rice 1974; the hoop strain in the divergence) for quad4, quad8 and tri6: the linear stiffness, stresses and thermal load, and the finite- and small-strain forms of nonlinear steps with their consistent tangent. The linear triangle and plane stress are refused by name. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
9 lines
616 B
Markdown
9 lines
616 B
Markdown
# Inflation of a stretched Mooney–Rivlin tube, axisymmetric
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The tube of `nl-mooney-rivlin-tube` (A = 10, B = 20, one unit long; E = 3, ν = 0.4995,
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C₀₁ = 0.2) as an axisymmetric model of 12 × 2 hybrid quad4 (one constant pressure each, the mean
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dilatation with the hoop strain): the end y = 0 on a symmetry line, the end y = 1 stretched to
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λ_z = 1.5 while the follower pressure p = 0.540850 inflates the bore. The closed form puts the
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bore at a = 15 and the outer wall at b = 20.615528 (see `nl-mooney-rivlin-tube`); this case checks
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the nearly incompressible 2D hybrid elements at large strain against it.
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