2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference solution is a digital solution [3].

2.2. Benchmark results#

The numerical reference results are as follows:

Size

DST* (TRIA3)

**DST* (QUAD4) **

  • Move \(w\) to point \(C\) \((L/\mathrm{2,}L/\mathrm{2,0})\)

—0.07323

—0.07417

—0.07417

  • Stress \({\sigma }_{\mathrm{xx}}\) at point \(C\) \((L/\mathrm{2,}L/\mathrm{2,}h/2)\) (layer 3)

—0.478

—0.482

  • Stress \({\sigma }_{\mathrm{yy}}\) at point \(C\) \((L/\mathrm{2,}L/\mathrm{2,}h/4)\) (layer 2)

—0.339

—0.4

  • Stress \({\tau }_{\mathrm{xz}}\) at point \(D\) \((\mathrm{0,}L/\mathrm{2,0})\) (layer 2)

—0.0203

—0.0305

  • Stress \({\tau }_{\mathrm{yz}}\) at point \(B\) \((L/\mathrm{2,0}\mathrm{,0})\) (layer 2)

—0.0406

—0.0204

  • the reference solutions were obtained with a \(6\times 6\) [3] mesh.

2.3. Uncertainties about the solution#

Less than 2%

2.4. Bibliographical references#

  1. BATOZ J.L., DHATT G.: Modeling structures by finite elements, Vol. 2, Beams and Plates, HERMES.

  2. PAGANO N.J., Hatfield J.J.: « Elastic behavior of multilayered bidirectional composites », AIAA J., Vol. 10, No. 7, p. 931-933, 1972.

  3. LARDEUR P.: Development and evaluation of two new finite elements of composite plates and shells with the influence of transverse shear, Engineering doctoral thesis, Compiègne University of Technology, 1990.