2. Benchmark solution#
2.1. Calculation method#
The reference solution for calculating the stresses in the beam is given in [1], [2].
2.2. Reference quantities and results#
Constraints \({\sigma }_{\mathit{xx}}\), \({\sigma }_{\mathit{yy}}\) and \({\sigma }_{\mathit{xy}}\) along the \(Y\) axis.
\({\sigma }_{\mathit{xx}}(Y)\mathrm{=}\mathrm{-}\mathrm{10Y}+10\)
\({\sigma }_{\mathit{yy}}(Y)\mathrm{=}0.\)
\({\sigma }_{\mathit{xy}}(Y)\mathrm{=}0.\)
\(Y(m)\) |
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\(0.0\) |
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\(0.5\) |
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\(1.0\) |
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\(1.5\) |
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\(2.0\) |
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2.3. Uncertainties about the solution#
Analytical Solution
2.4. Bibliographical references#
M.H. SADR - LAHIDJANI: « Modeling and analysis of thin elastic plates and shells subjected to temperature fields », Doctoral thesis UTC, 1984.
PITER, HARTEL H. « Improved stress evaluation under thermal load for simple finite element », I.J.N.M.E., Vol. 15, 1507-1515, 1980.