3D BEM for orthotropic frictional contact of piezoelectric bodies

Rodríguez-Tembleque, Luis; Buroni, Federico C.; Sáez, Andrés

doi:10.1007/s00466-015-1183-9

Cited by 22 publications

(13 citation statements)

References 48 publications

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“…Therefore, the BEM has been used to studied the thermomechanical contact problems in different works such as References 25‐35. Nevertheless, to the best author's knowledge, the inclusion of the orthotropic frictional law has been solved in References 36‐42 for the resolution of contact problems using BEM for elastic, multifield magneto‐electro‐elastic and piezoelectric conditions, FRP composites and wear. Only in References 27,43,44 has been involved the isotropic friction model in 2D thermomechanical contact problems.…”

Section: Introductionmentioning

confidence: 99%

3D thermoelastic solids under non‐linear interface thermal and orthotropic frictional contact conditions

Ubero-Martínez

Rodríguez-Tembleque

Cifuentes-Rodríguez

et al. 2022

Numerical Meth Engineering

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This article presents a robust and efficient methodology to study three‐dimensional thermoelastic contact problems under orthotropic friction conditions, including the effects of non‐linear thermal contact conductance and convective boundary conditions at the interstitial contact zone. The proposed methodology considers the boundary element method to compute the thermomechanical influence coefficients and an augmented Lagrangian formulation to ensure the fulfillment of all these thermomechanical contact conditions. The resulting non‐linear equation set have been solved by an efficient proposed iterative Uzawa scheme. The proposed formulation has been validated by comparison with some available results in the literature and later on, it is considered to study how the thermoelastic contact variables are affected by both: the non‐linear interface thermal and the orthotropic friction conditions in different engineering problems such as a brake disc‐pad contact system.

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Section: Introductionmentioning

confidence: 99%

3D thermoelastic solids under non‐linear interface thermal and orthotropic frictional contact conditions

Ubero-Martínez

Rodríguez-Tembleque

Cifuentes-Rodríguez

et al. 2022

Numerical Meth Engineering

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“…Bu nedenle sayısal bir yaklaşıma ihtiyaç duyulmaktadır. MEMS'teki mekanik dağılımı, elektrik veya manyetik alan dağılımını öngörmek için sınır integral denklemi (Boundary Integral Equation-BIE) ideal bir uygulama olabilir (Frangi 2009, Rodriguez et al 2015.…”

Section: Introductionunclassified

Sınır Elemanları Yöntemiyle MEMS Plakası Dışında Oluşan Manyetostatik Potansiyel Analizi

Solmaz¹,

Hansu²

2020

Afyon Kocatepe University Journal of Sciences and Engineering

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Designs of MEMS and NEMS devices are gaining importance for their stable and efficient operation with their shrinking structures. Boundary element method is a widely used method for design of such devices, recently. In this study, finite difference method, which is expressed as classical methods, and boundary element method, which is a newer method compared to finite element method, was investigated. To examine the performance of boundary element method in MEMS design, the scalar magnetic potential formed outside the MEMS plate was analyzed. Firstly, the boundaries of problem region are divided with a fixed boundary element and the problem is modeled by defining Dirichlet boundary conditions. A new program has been developed in Matlab environment to solve the problem. The designed program automatically solves the finite element method and the boundary element method in two-dimensional problem region whose limits and number of elements are determined. To check the accuracy of the results, the problem was solved analytically and all results were compared. According to the results obtained in the application, it can be stated that boundary element method has many positive aspects in terms of the data required for problem solving, the ease of application and the accuracy of the results according to the finite element method. According to the results obtained in this study, it may be suggested to use the boundary element method in detection of electrostatic and magnetostatic sensing distances of MEMS and NEMS devices. The developed program can contribute to better design of such devices.

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“…In the expressions (17) and 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 (18), κ * e and κ * m are the conductivity parameter similar to [17]. So, according to (17) and (18), the electric and magnetic contact conditions (9) show that when there is no contact (i.e. p ν = 0) on ∂Ω c the normal electric and magnetic fluxes vanish, and when there is contact, electric and magnetic charges appear.…”

Section: Magneto-electrical Contact Conditionsmentioning

confidence: 99%

“…flat, conical, and spherical). See also further references in Rodríguez-Tembleque et al [17]. For transversely isotropic PM materials, the frictionless axisymmetric indentation by flat rigid punch has been studied by Giannakopoulos and Parmaklis [18]; and the 2D exact solution of the singular integral equation corresponding to the indentation by a sliding rigid punch with flat or cylindrical profile has been presented by Zhou and Lee [19].…”

Section: Introductionmentioning

confidence: 99%

“…Quasistatic 2D contact problems between solid-foundation and a PE material and an electro-visco-elastic material have been studied, for instance, by Sofonea et al [22,23,24,25] under frictionless conditions; and by Sofonea et al [26] incorporating isotropic frictional contact conditions. Recently, Rodríguez-Tembleque et al [17] presented a Boundary Element Method (BEM) formulation to study 3D frictional contact of piezoelectric bodies in the presence of electric fields. However, to the best of the authors' knowledge, no numerical formulation for solving the coupled MEE contact problem is available in the literature.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

3D coupled multifield magneto-electro-elastic contact modelling

Rodríguez-Tembleque

Buroni

Sáez

2016

International Journal of Mechanical Sciences

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Highlights-A numerical procedure for the three-dimensional frictional contact modelling of anisotropic coupled magneto-electro-elastic materials in presence of both electric and magnetic fields is presented.-An orthotropic frictional law is considered, so anisotropy is present both in the bulk and in the surface.-The methodology uses the boundary element method with explicit evaluation of the fundamental solutions in order to compute the magneto-electro-elastic influence coefficients.-The contact model is based on an augmented Lagrangian formulation and it uses an iterative Uzawa scheme of resolution.-Conducting, semi-conducting and insulated electric and/or magnetic indentation conditions, as well as orthotropic frictional contact conditions are considered.-The methodology is validated by comparison with benchmark analytical solutions. Then, additional exploration examples are presented and discussed in detail, revealing that magnetoelectric material coupling, conductivity contact conditions lead to a significant effect on the indentation force and contact pressure distributions.-The influence of friction in electric and magnetic potential responses has been also proved to be very significant. Moreover, tangential loads exhibit an important influence both on the maximum values of the electric and magnetic potentials as well as on their distributions. AbstractThe present work deals with the general contact problem for coupled magnetoelectro-elastic materials. Despite of the relevant technological applications, this topic of research has been treated only in some analytical works. But analytical solutions lack the generality of numerical methodologies, being restricted typically to simple geometries, loading conditions, idealized contact conditions and mostly taking into account transversely isotropic material symmetry with the symmetry axis normal to the contact surface. In this work, a numerical procedure for the three-dimensional frictional contact modelling of anisotropic coupled magneto-electro-elastic materials in presence of both electric and magnetic fields is presented for the first time. An orthotropic frictional law is considered, so anisotropy is present both in the bulk and in the surface. The methodology uses the boundary element method with explicit evaluation of the fundamental solutions in order to compute the magneto-electro-elastic influence coefficients. The contact model is based on an augmented Lagrangian formulation and it uses an iterative Uzawa scheme of resolution. Conducting, semi-conducting and insulated electric and/or magnetic indentation conditions, as well as orthotropic frictional contact conditions are considered. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 coupling, conductivity contact conditions lead to a significant effect on the indentation force and contact pressure dis...

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3D BEM for orthotropic frictional contact of piezoelectric bodies

Cited by 22 publications

References 48 publications

3D thermoelastic solids under non‐linear interface thermal and orthotropic frictional contact conditions

3D thermoelastic solids under non‐linear interface thermal and orthotropic frictional contact conditions

Sınır Elemanları Yöntemiyle MEMS Plakası Dışında Oluşan Manyetostatik Potansiyel Analizi

3D coupled multifield magneto-electro-elastic contact modelling

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