Finite elements numerical solution to deep beams based on layerwise displacement field

Autor(es)

Vilar, M. M. S. ^[1] ; Sartorato, M. ^{[1, 2]} ; Santana, H. B. ^[1] ; Leite, M. R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Grp Aeronaut Struct GEA, Dept Aeronaut Engn, Sch Engn Sao Carlos, Ave Joao Dagnone 1100, BR-13563120 Sao Carlos, SP - Brazil

^[2] Sao Paulo State Univ UNESP, Sao Joao da Boa Vista Campus, BR-13876750 Sao Joao Da Boa Vista, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 40, n. 9 SEP 2018.
• Citações Web of Science: 0

Resumo

This paper proposes a numerical solution to deep beams using the layerwise displacement theory. Most of the methods for performing structural analyses of deep beams have geometric and boundary conditions limitations, as well as modeling inconveniences. This paper provides a finite element solution for deep beams based on a layerwise displacement field considering the full stress/strain tensors. In this formulation, the cross section is discretized in a pre-defined number of independent virtual layers, with linear interpolation within the thickness direction. To validate the model developed, two numerical examples are analyzed. The first is a reinforced concrete deep beam with two supports, loaded over the top face, validated by finite element analysis based on solid-element ABAQUS software. Next, an isotropic deep beam with both ends cantilevered is analyzed and the outcome is compared to the literature. The results of both numerical examples are accurate and can estimate the complete state of stress over all domains of the element. Moreover, the layerwise formulation does not suffer from shear and membrane locking, and it may use fewer computational resources than equivalent 3D finite element analyses. (AU)

• Processo FAPESP: 15/13844-8 - Formulação de elementos finitos e modelos de delaminação para material compósito laminado.
• Beneficiário: Marcelo Leite Ribeiro
• Modalidade de apoio: Auxílio à Pesquisa - Regular