Comparison of different element solutions applied to composite beam materials

• Published in: European journal of mechanics, A, Solids Vol. 94; p. 104572
• Main Authors: Baier-Saip, J.A., Baier, P.A., de Faria, A.R., de Lima, A.S., Baier, H.
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Masson SAS 01.07.2022; Elsevier BV
• Subjects: Axial stress; Composite beam; Composite beams; Composite materials; Continuity of displacements; Differential equations; Finite element method; Finite element methods; Mathematical analysis; Polynomials; Finite element methods; Composite beam; Continuity of displacements
• ISSN: 0997-7538; 1873-7285
• DOI: 10.1016/j.euromechsol.2022.104572

The use of composite materials in several sectors has been gaining distinction in recent years. However, due to their high costs, as well as unique characteristics, they present challenging gaps to be studied. The finite element method has been used as a way to analyze composite materials subjected to the most distinctive situations. Three element solutions are compared, which can be applied to composite beams. The accuracy of the outcomes does not improve with higher degree polynomials, but the inclusion of the homogeneous solution to solve a system of differential equations results in a better outcome when considering the normal strains. Special attention is paid to the continuity of the displacements between adjacent elements. Finally, it is explained why the calculated axial normal stress looks much better than the transverse normal stress. •Three element solutions applied to composite beams are compared.•The accuracy of the calculations does not improve with higher degree polynomials.•The homogeneous solution of differential equations enhances the normal strains.•It is explained why the axial stress looks better than the transverse normal stress.•The results are translated into a standard form as used in the CUF.