Analytical solutions for elastic fields caused by eigenstrains in two joined and perfectly bonded half-spaces and related problems

Wang, Zhanjiang; Yu, Hao; Wang, Qian

doi:10.1016/j.ijplas.2015.07.006

Cited by 24 publications

(13 citation statements)

References 48 publications

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“…In SAM, the plastic strains are considered as "eigenstrains", while their influence on the domain as a whole is solved by a combination of analytical and numerical approaches. The method proposed recently by Wang et al [30] was used in this work and is described briefly below.…”

Section: Residual Displacement and Stress Fieldsmentioning

confidence: 99%

“…To solve elastoplastic contact problems, Jacq et al [27] presented a semianalytical method by considering plastic deformation as eigenstrains, based on Chiu's results [28,29]. Recently, Wang et al [30] acquired stress and displacement fields of eigenstrains in two perfectly bonded layered halfspaces, making it possible to solve the elastoplastic contact of layered material.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, this work extends the model proposed by Boucly et al [31] which involved only homogeneous material, to a layered system. The plasticity in the layered structure is considered to follow the J2 flow theory [32] and is solved by the method in reference [30]. Green's assumption on steady state sliding [33] is applied: two asperities will not approach or separate over each other while sliding, e.g., a predefined separation of the two surfaces is given.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On an Elastoplastic Sliding Model for a Coated Single Asperity

Wang

Schipper

2018

Lubricants

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In this study, a sliding friction model for coated single asperity contacts is proposed. A displacement-driven layered contact algorithm is firstly introduced and verified by the finite element method. Then, this algorithm is applied to simulate the contact between two semispherical asperities. The full sliding contact process is discretized into a series of transient steps, and each of these steps are calculated by the displacement-driven contact algorithm. The effects of the interference depth and the properties of, respectively, the tribofilm (thickness, elastic modulus, and yield strength) and the nanocrystalline layer on the sliding coefficient of friction are investigated. The results suggest that when surface adhesion and asperity damage are ignored, the plastic deformation of the tribofilm is the main source of the sliding friction. Greater interference depth, tribofilm with greater thickness, higher elastic modulus or lower yield strength, and the presence of a nanocrystalline layer will lead to a higher coefficient of friction in single asperity sliding.

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Section: Residual Displacement and Stress Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On an Elastoplastic Sliding Model for a Coated Single Asperity

Wang

Schipper

2018

Lubricants

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“…First of all, FFT-based methods and algorithms were developed to compute the mechanical fields and the effective properties of linear elastic composites Suquet, 1994, 1998;Müller, 1996). Heterogeneous materials with eigenstrains or thermal strains were treated with different FFT-based methods (Dreyer et al, 1999;Vinogradov and Milton, 2008;Liu et al, 2012;Anglin et al, 2014;Bertin et al, 2015;Donegan and Rollett, 2015;Graham et al, 2016;Jacques, 2016;Wang et al, 2016). The method was also applied to non-linear composite materials (Moulinec and Suquet, 1998;Michel et al, 2001), rigid-viscoplastic/ elasto-viscoplastic polycrystals (Lebensohn, 2001;Lee et al, 2011;Lebensohn et al, 2011Lebensohn et al, , 2012Suquet et al, 2012), continuum dislocation/ disclination mechanics Brenner et al, 2014;Berbenni et al, 2016;Djaka et al, 2017), deformation twinning (ArulKumar et al, 2015;Mareau and Daymond, 2016), fracture (Herrmann et al, 1999), damage (Spahn et al, 2014), nano-polycrystals (Upadhyay et al, 2016), non local polycrystal plasticity (Lebensohn and Needleman, 2016) and finite deformation (Lahellec et al, 2003;Eisenlohr et al, 2013;Shanthraj et al, 2015;DeGeus et al, 2017;Nagra et al, 2017;Vidyasagar et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Development of a new consistent discrete green operator for FFT-based methods to solve heterogeneous problems with eigenstrains

Eloh

Jacques

Berbenni

2019

International Journal of Plasticity

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Development of a new consistent discreteGreen operator for FFT-based methods to solve heterogeneous problems with eigenstrains. International Journal of Plasticity, Elsevier, In press, Abstract In this paper, a new expression of the periodized discrete Green operator using the Discrete Fourier Transform method and consistent with the Fourier grid is derived from the classic "Continuous Green Operator" (CGO) in order to take explicitly into account the discreteness of the Discrete Fourier Transform methods. It is shown that the easy use of the conventional continuous Fourier transform of the modified Green operator (CGO approximation) for heterogeneous materials with eigenstrains leads to spurious oscillations when computing the local responses of composite materials close to materials discontinuities like interfaces, dislocations. In this paper, we also focus on the calculation of the displacement field and its associated discrete Green operator which may be useful for materials characterization methods like diffraction techniques. We show that the development of these new consistent discrete Green operators in the Fourier space named "Discrete Green Operators" (DGO) allows to eliminate oscillations while retaining similar convergence capability. For illustration, a DGO for strain-based modified Green tensor is implemented in an iterative algorithm for heterogeneous periodic composites with eigenstrain fields. Numerical examples are reported, such as the computation of the local stresses and displacements of composite materials with homogeneous or heterogeneous elasticity combined with dilatational eigenstrain or eigenstrain representing prismatic dislocation loops. The numerical stress and displacement solutions obtained with the DGO are calculated for cubic-shaped inclusions, spherical Eshelby and inhomogeneity problems. The results are discussed and compared with analytical solutions and the classic discretization method using the CGO.

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“…By contrast, a dimple forms on the surface if the inclusion is soft (compared to the matrix). 9 It is worth mentioning that the microscopic aspects of EHL are usually sensitive to the topography of the contact surface. Indeed, many studies have been devoted to establishing which contact-surface topography is best for increasing the film thickness, improving the oil film bearing capacity and reducing the traction force in EHL contact.…”

Section: Introductionmentioning

confidence: 99%

Elastohydrodynamic lubrication in point contact on the surfaces of particle-reinforced composite

Chen

Zeng

et al. 2018

AIP Advances

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Appreciable friction and serious wear are common challenges in the operation of advanced manufacturing equipment, and friction pairs may be susceptible to damage even with oil lubrication when point contact exists. In this study, a type of particle-reinforced composite material is introduced for one of the components of a heavy-load contact pair, and the performance improvement of elastohydrodynamic lubrication (EHL) is analyzed considering the rheological properties of non-Newtonian fluids. The Ree–Eyring EHL model is used considering the surface of the particle-reinforced composite, in which the film thickness includes the particle-induced elastic deformation. The problem of inclusions with different eigenstrains is solved by using Galerkin vectors. The influences of particle properties, size, burial depth, and interparticle distance on point-contact EHL are investigated. Furthermore, using several cases, the structural parameters of the particles in the composites are optimized, and an appropriate parameter range is obtained with the goal of reducing friction. Finally, the results for the EHL traction coefficient demonstrate that appropriate particle properties, size, burial depth, and interparticle distance can effectively reduce the traction coefficient in heavy-load contact.

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Analytical solutions for elastic fields caused by eigenstrains in two joined and perfectly bonded half-spaces and related problems

Cited by 24 publications

References 48 publications

On an Elastoplastic Sliding Model for a Coated Single Asperity

On an Elastoplastic Sliding Model for a Coated Single Asperity

Development of a new consistent discrete green operator for FFT-based methods to solve heterogeneous problems with eigenstrains

Elastohydrodynamic lubrication in point contact on the surfaces of particle-reinforced composite

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