Continuous stress distribution following transverse direction for FEM orthotropic laminated plates and shells

Paccola, Rodrigo Ribeiro; Sampaio, Maria do Socorro Martins; Coda, Humberto Breves

doi:10.1016/j.apm.2016.03.005

Cited by 13 publications

(2 citation statements)

References 31 publications

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“…Positional FEM adopts as main variables the current nodal positions instead of displacements as classical finite elements do, leading to a natural geometrically exact nonlinear description. For details over convergence and error analysis, the readers are referenced to articles [48][49][50][51][52][53], where and overview of trusses, plates, shells and solids formulations using the Positional FEM are presented. In this section, the adopted formulation is described, allowing its reproducibility.…”

Section: D Mechanical Model For Concretementioning

confidence: 99%

Cross-section modeling of the non-uniform corrosion due to chloride ingress using the positional finite element method

Ramos

Carrazedo

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, we propose an original and alternative FEM strategy to simulate the expansion and damage in cross sections of concrete elements due to non-uniform corrosion associated with chloride ingress. The strategy embed two-dimensional particle elements in two-dimensional matrix elements to simulate the stress distribution in the steel/concrete interface. This approach is different from the usual ones in which the steel rebar is replaced by forces and the contribution of the reinforcement stiffness is neglected. The reinforced concrete cross section is made by the composition of matrix and particle elements by means of nodal correspondence. This ensures that the number of degrees of freedom is not affected by the reinforcement, which makes the technique highly economical from the numerical point of view. A damage model contributes to the process of concrete degradation due to corrosion. The numerical applications ensure the accuracy of the developed model, showing its applicability in the analysis of non-uniform corrosion propagation in cross sections of reinforced concrete structures.

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Section: D Mechanical Model For Concretementioning

confidence: 99%

Cross-section modeling of the non-uniform corrosion due to chloride ingress using the positional finite element method

Ramos

Carrazedo

2020

J Braz. Soc. Mech. Sci. Eng.

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“…More recently, the unconstrained vector kinematics has been successfully applied in various structural problems (Coda et al, 2020;Siqueira and Coda, 2016;Pascon and Coda, 2013). Other recent works using the positional FEM based on unconstrained vectors instead of finite rotations may also be mentioned (Coda, 2015;Paccola et al, 2016;Coda et al, 2017). The use of unconstrained vectors in the analysis of structures composed of non-smooth surfaces -as occurs in the usual analysis of metal profiles -exposes the problem of the non-uniqueness of the normal versor at corners and edges.…”

Section: Introductionmentioning

confidence: 99%

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Soares

Paccola

Coda

2021

Lat. Am. j. solids struct.

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The importance of knowing critical loads and post-critical behavior of thin-walled structures motivates the development of several scientific and practical studies. Most references are concerned with stability analysis for small displacements (first order approach), or with second order stability analyzes, a less precise geometric nonlinear strategy. However, very flexible structures or ones that present small loss of stiffness after the first critical load need more careful analysis. Here we present a shell numerical formulation capable of carrying out stability analysis of thin-walled structures developing large displacements. This formulation uses generalized unconstrained vectors as nodal parameters instead of rotations. To make possible a complete stability analysis using unconstrained vectors, we present an original strategy that imposes a Conjugate Modal Force at the vicinity of critical points, allowing an accurate choice of post-critical paths. Non-conservative forces are also considered and results are compared with literature benchmarks, demonstrating the accuracy and capacity of the proposed formulation.

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Methods and guidelines for the choice of shell theories

Petrolo

Carrera

2020

Acta Mech

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Continuous stress distribution following transverse direction for FEM orthotropic laminated plates and shells

Cited by 13 publications

References 31 publications

Cross-section modeling of the non-uniform corrosion due to chloride ingress using the positional finite element method

Cross-section modeling of the non-uniform corrosion due to chloride ingress using the positional finite element method

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Methods and guidelines for the choice of shell theories

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