Interaction of multiple inhomogeneous inclusions beneath a surface

Zhou, Kun; Keer, Leon M.; Wang, Q. Jane; Ai, Xiaolan; Sawamiphakdi, Krich; Glaws, Peter; Paire, Myriam; Che, F.X.

doi:10.1016/j.cma.2012.01.006

Cited by 62 publications

(10 citation statements)

References 40 publications

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“…According to the obtained pressure, (3) and (4) are computed for getting the stress and displacement of the frustule. For this, the finite element method is usually employed due to the complexity in the porous frustule of the diatom, although there are other efficient methods for computing solid performances such as FFT one [21][22][23]. When the displacement is obtained, it, as boundary input, is transmitted to (1) and (2) and then repeat the above solution process until the given convergent standards are met.…”

Section: Governing Equationsmentioning

confidence: 99%

Investigation of Tribological Performances for Porous Structure of Diatom Frustule with FSI Method

Meng

Gao

2014

Advances in Condensed Matter Physics

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Tribological performances of the diatom frustule are investigated with the liquid-solid interaction (FSI) method. Take, for example, the representativeCoscinodiscussp. shell; the diatom frustule with the porous structure is achieved by the scanning electron microscope (SEM). Based on the frustule, the representative diatom frustule is modeled. Further, tribological performances of the diatom at its different geometry sizes and velocities are solved with FSI method and compared with corresponding values for the nonporous structure. The numerical result shows that the existence of the porous structure of the diatom helps to reduce friction between it and ambient water and to increase its load-carrying capacity.

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Section: Governing Equationsmentioning

confidence: 99%

Investigation of Tribological Performances for Porous Structure of Diatom Frustule with FSI Method

Meng

Gao

2014

Advances in Condensed Matter Physics

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“…Recently, aiming to discretize the inhomogeneities with irregular shapes into small cubic elements, the strategy of EIM has been extended to the numerical equivalent inclusion methodology (NEIM) [ 74 , 75 , 76 , 77 , 78 , 79 , 80 ]. The stress fields induced by the strains of element cores can be expressed by the basic Galerkin vectors [ 81 ] and the cuboidal solution of the stress field in each element has been solved as a closed-form explicit integral kernel for convolution and correlation operations in order to perform the fast solution using the Fourier transform (FFT) [ 82 , 83 ].…”

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Mechanical Properties and Failure Mechanism of Innovative Ti-(SiCf/Al3Ti) Laminated Composites for Sphere-Plane Contact at the Early Stage of Penetration Process

et al. 2018

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A novel silicon carbide (SiC) continuous ceramic fiber-reinforced (CCFR) Ti/Al3Ti Metal-Intermetallic-Laminate (MIL) composite was fabricated. A high-efficiency semi-analytical model was proposed based on the numerical equivalent inclusion method (NEIM) for analyzing the small-strain elasto-plastic contact in the early stage of the penetration process. The microstructure and interface features were characterized by the scanning electron microscopy (SEM). Quasi-static compression tests were performed to determine the contact response and validate the proposed model. A group of in-depth parametric studies were carried out to quantify the influence of the microstructure. The comparison between results under the sphere-plane and plane-plane contact load indicates that, under the first sphere-plane, the compressive strength and failure strain are both lower and the SiC reinforcement effect on strength is very clear while the effect on ductility is not clear. The maximum plastic strain concentration (MPSC) in the Al3Ti layer is closest to the upper boundary of the central SiC fiber and then extends along the depth direction as the load increases, which are also the locations where cracks may initiate and extend. Moreover, the CCFR-MIL composite shows better mechanical properties when the center distance between adjacent SiC fibers is four times the fiber diameter and the volume fraction of Ti is 40%.

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“…In addition, the effect of grinding wheel spindle vibration on surface and subsurface damages in high-speed grinding of brittle material was studied by Chen et al [21]. Zhou et al [22][23][24][25][26] and Dong et al [27][28][29] conducted many studies to analyze the half-space contact problems with micro-defects (e.g. dislocations, inclusions and cracks), which have potentially significant application in addressing challenging materials science problems.…”

Section: Introductionmentioning

confidence: 99%

Subsurface damage in high-speed grinding of brittle materials considering kinematic characteristics of the grinding process

Wang

Fang

Chen

et al. 2015

Int J Adv Manuf Technol

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Subsurface damage (SSD) induced during abrasive grain machining process strongly influences the mechanical strength and subsurface quality of the brittle components. Therefore, it is meaningful to study the relationship between SSD and grinding parameters. The methods of theoretical analysis, numerical simulation and experimental testing are used to analyze the SSD of brittle materials in high-speed grinding. The results of numerical simulation are consistent with those of theoretical analysis and experimental testing, which indicates that the present numerical method is reasonable. The investigation focuses on the effects of wheel speed, grinding depth, and apex angle of the abrasive grain on the SSD of brittle materials. It shows that when maximum undeformed chip thickness (M-UCT) is greater than the critical thickness of brittle fracture, the material removal is mainly in the brittle mode. A high wheel speed is beneficial to achieving a good subsurface quality. However, under certain conditions, an ultra-high wheel speed with quite small grinding depth is not helpful in SSD control. Due to the kinematic characteristics of the grinding process, the effect of grinding depth on SSD is weaker than that of wheel speed and a smaller abrasive grain is of advantage to subsurface quality. In addition, the grinding force is one of the major factors influencing the subsurface quality.

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Interaction of multiple inhomogeneous inclusions beneath a surface

Cited by 62 publications

References 40 publications

Investigation of Tribological Performances for Porous Structure of Diatom Frustule with FSI Method

Investigation of Tribological Performances for Porous Structure of Diatom Frustule with FSI Method

Elasto-Plastic Mechanical Properties and Failure Mechanism of Innovative Ti-(SiCf/Al3Ti) Laminated Composites for Sphere-Plane Contact at the Early Stage of Penetration Process

Subsurface damage in high-speed grinding of brittle materials considering kinematic characteristics of the grinding process

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