Question
These objects became popular elements in CAD software after Kiendl et al. published an isogeometric construction of them. For 10 points each:
[10h] Name these objects described by Kirchhoff–Love theory, which assumes that lines remain perpendicular to a mid-surface after deformation. These objects obey the biharmonic equation “del squared del squared w equals zero.”
ANSWER: thin plates [or thin shells]
[10m] Kirchhoff–Love theory is the two-dimensional analogue of this classical theory of beam deflection, which relates a fourth derivative of the deflection to the applied load.
ANSWER: Euler–Bernoulli beam theory [or engineer’s beam theory]
[10e] Both Kirchhoff–Love plates and Euler–Bernoulli beams are assumed to be thin, and therefore neglect this type of deformation caused by parallel layers experiencing forces in opposite directions.
ANSWER: shearing [or shear deformation; accept shear forces]
<Fine, Physics>
Summary
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Data
| 1.g4 Test Mixture | The Aum-Wein Drinchard by Amogh Tutuola | 10 | 0 | 10 | 20 |