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agnumpde
dune-elasticity
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a6123d3c
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a6123d3c
authored
4 years ago
by
Patrick Jaap
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MooneyRivlinDensity: Correct comment
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MooneyRivlinDensity: Correct comment
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dune/elasticity/materials/mooneyrivlindensity.hh
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dune/elasticity/materials/mooneyrivlindensity.hh
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a6123d3c
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@@ -68,8 +68,8 @@ public:
There are three Mooney-Rivlin-Variants:
ciarlet: W(F) = mooneyrivlin_a*(normF)^2 + mooneyrivlin_b*(normFinv)^2*detF + mooneyrivlin_c*(detF)^2 -
((dim-1)*mooneyrivlin_a + mooneyrivlin_b + 2*mooneyrivlin_c)*ln(detF)
log: W(F) = \sum_{i,j=0}^{i+j<=n} mooneyrivlin_ij * (I1 - 3)^i * (I2 - 3)^j + mooneyrivlin_k * ln(det(F))
square: W(F) = \sum_{i,j=0}^{i+j<=n} mooneyrivlin_ij * (I1 - 3)^i * (I2 - 3)^j + mooneyrivlin_k * 0.5 * (det(F) - 1)
log: W(F) = \sum_{i,j=0}^{i+j<=n} mooneyrivlin_ij * (I1 - 3)^i * (I2 - 3)^j + mooneyrivlin_k * ln(det(F))
^2
square: W(F) = \sum_{i,j=0}^{i+j<=n} mooneyrivlin_ij * (I1 - 3)^i * (I2 - 3)^j + mooneyrivlin_k * 0.5 * (det(F) - 1)
^2
For log and square: I1 and I2 are the first two invariants of C (or B), multiplied with a factor depending on det(F):
I1 = (det(F)^(-2/dim)) * [ first invariant of C ]
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