Micropolar beam-like structures under large deformation

Obrezkov, Leonid P.; Matikainen, Marko K.; Kouhia, Reijo

doi:10.1016/j.ijsolstr.2022.111899

Cited by 3 publications

(3 citation statements)

References 49 publications

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“…These elements have been widely used in the nonlinear analysis of a wide range of challenging applications, some of which have complex geometry. 38…”

Section: Ancf Mesh Topologymentioning

confidence: 99%

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Shabana

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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This article discusses a new approach for predicting and quantifying mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated mechanical systems (AMS). In this approach, the constrained equations of motion are solved simultaneously with discrete temperature equations obtained by converting heat partial-differential equation to a set of first-order ordinary differential equations. Dependence of the temperature gradients and their spatial derivatives on the position gradients, spinning motion, and curvatures is discussed. The approach captures dependence of the temperature-oscillation frequencies on the mechanical-displacement frequencies. The temperature field can be selected to ensure continuity of the temperature gradients at the nodal points. To generalize the AMS coupled thermo-elasticity formulation and capture the effect of the boundary and motion constraints (BMC) on the thermal expansion, the proposed method is based on integrating thermodynamics and Lagrange-D’Alembert principles. The absolute nodal coordinate formulation (ANCF) is used to describe continuum displacement and obtain accurate description of the reference-configuration geometry and change of this geometry due to deformations. A thermal-analysis large-displacement formulation is used to allow converting heat energy to kinetic energy, ensuring stress-free thermal expansion in case of unconstrained uniform thermal expansion. Cholesky heat coordinates are used to define an identity coefficient matrix for the efficient solution of the discretized heat equations. The approach presented is applicable to the two different forms of the heat equation used in the literature; one form is explicit function of the stresses while the other form does not depend explicitly on the stresses. Because of the need for using ANCF finite elements to achieve a higher degree of continuity in the coupled thermomechanical approach introduced in this article, the concept of the ANCF mesh topology is discussed.

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“…These elements have been widely used in the nonlinear analysis of a wide range of challenging applications, some of which have complex geometry. 38…”

Section: Ancf Mesh Topologymentioning

confidence: 99%

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Shabana

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…Accordingly, compared with the previous works, e.g. Obrezkov et al (2022), the novelties of the present contribution are as follows:…”

Section: Introductionmentioning

confidence: 97%

“…Extensions of micropolar theory to elasto-plasticity, for the purpose of modelling the strain localization phenomenon in plastic deformations, have been carried out in several research papers (e.g., de Borst (1993); Steinmann (1994); ; ; Bauer et al (2012b)). Various micropolar beam (Ramezani et al, 2009a;Hassanpour and Heppler, 2016;Chowdhury and Reddy, 2019;Obrezkov et al, 2022;Sargsyan and Khachatryan, 2022;La Valle and Falsone, 2023), plate (Abadikhah and Folkow, 2015;Fares et al, 2023), and shell (Eremeyev and Altenbach, 2017;Zozulya, 2018) formulations have been also developed in the literature. Additionally, the micropolar theory has been used in the modeling of granular materials, phononic crystals, lattice structures, crystal plasticity, bone mechanics, and auxetic lattices (e.g., Mayeur et al (2011) As was mentioned above, micropolar theory can model the deformation of materials subjected to body couples.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional micropolar beam model with application to the finite deformation analysis of hard-magnetic soft beams

Dadgar-Rad,

Hemmati,

Hossain

2024

International Journal of Solids and Structures

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An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions

Shabana

2023

Multibody Syst Dyn

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Micropolar beam-like structures under large deformation

Cited by 3 publications

References 49 publications

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

A three-dimensional micropolar beam model with application to the finite deformation analysis of hard-magnetic soft beams

An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions

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