Fast FE–BEM algorithms for orthotropic frictional contact

Rodríguez-Tembleque, Luis; Abascal, Ramón

doi:10.1002/nme.4479

Cited by 26 publications

(19 citation statements)

References 37 publications

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“…where p * τ = p τ − r τ M 2ġ τ (r τ ∈ R + ) is the augmented tangential traction and P E ρ (•) : R 2 −→ R 2 is the tangential projection function defined in [43] as…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

“…In Eq. (12), the value for the tangential contact traction was presented in [43] assuming an associated sliding rule, the…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

“…An orthotropic friction law [42,43] is considered, which is a more appropriate frictional constitutive law according with the anisotropic PE materials considered. The generic form of such orthotropic Friction Cone (C f ) is given by…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

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3D BEM for orthotropic frictional contact of piezoelectric bodies

2015

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A numerical methodology to model the threedimensional frictional contact interaction of piezoelectric materials in presence of electric fields is presented in this work. The boundary element method (BEM) is used in order to compute the electro-elastic influence coefficients. The proposed BEM formulation employs an explicit approach for the evaluation of the corresponding fundamental solutions, which are valid for general anisotropic behaviour meanwhile mathematical degeneracies in the context of the Stroh formalism are allowed. The contact methodology is based on an augmented Lagrangian formulation and uses an iterative Uzawa scheme of resolution. An orthotropic frictional law is implemented in this work so anisotropy is present both in the bulk and in the surface. The methodology is validated by comparison with benchmark analytical solutions. Some additional examples are presented and discussed in detail, revealing the importance of considering orthotropic frictional contact conditions in the electro-elastic analysis of this kind of problems.

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“…where p * τ = p τ − r τ M 2ġ τ (r τ ∈ R + ) is the augmented tangential traction and P E ρ (•) : R 2 −→ R 2 is the tangential projection function defined in [43] as…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

“…In Eq. (12), the value for the tangential contact traction was presented in [43] assuming an associated sliding rule, the…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

3D BEM for orthotropic frictional contact of piezoelectric bodies

2015

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“…In general, an orthotropic frictional constitutive law is considered for anisotropic MEE materials: ||p τ || µ ≤ |p ν |. According to [29,30], this Coulomb friction restriction can be summarized as: In the expressions above, the tangential slip can be assumed for quasistatic contact problems asġ τ ≈ ∆g τ = g o,τ − u τ (i.e. g o,τ is the tangential translation and…”

Section: Mechanical Contact Conditionsmentioning

confidence: 99%

“…The quasi-static MEE contact system (29) is solved using the Uzawa's method [27,28,29,30]. To compute the variables at the load step (k),…”

Section: Mee Contact Discrete Equationsmentioning

confidence: 99%

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 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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Fast FE–BEM algorithms for orthotropic frictional contact

Cited by 26 publications

References 37 publications

3D BEM for orthotropic frictional contact of piezoelectric bodies

3D BEM for orthotropic frictional contact of piezoelectric bodies

3D coupled multifield magneto-electro-elastic contact modelling

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

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