Reissner’s Mixed Variational Theorem (RMVT) presents both displacements and transverse stresses as primary variables. This property allows the a-priori fulfillment of both interlaminar compatibility and equilibrium with potentially excellent numerical performance. However, the triangular finite element based on RMVT has never been assessed from an energetic perspective. This aspect is investigated in the present contribution for the first time: the functional reconstitution technique is extended to RMVT-based triangular elements (retaining transverse normal stress) and it is demonstrated that the elements exhibit significantly lower errors than the corresponding displacement-based formulation. Moreover, the percentage errors on the approximation of the semi-complementary energy is shown to be invariant with the plate thickness-to-width ratio.

Reissner 的混合变分定理 (RMVT) 将位移和横向应力作为主要变量。这种特性允许层间兼容性和平衡的先验实现，并具有潜在的优异数值性能。然而，从未从能量的角度评估基于 RMVT 的三角形有限元。在目前的贡献中首次研究了这一方面：功能重建技术扩展到基于 RMVT 的三角形单元（保留横向法向应力），并且证明这些单元比相应的基于位移的公式显示出显着更低的误差。此外，半互补能量近似的百分比误差显示为与板厚宽比不变。