Gradient piezoelectricity for cracks under an impact load

Sládek, J.; Sládek, V.; Wünsche, Michael; Kasala, Jozef

doi:10.1007/s10704-018-0264-0

Cited by 11 publications

(4 citation statements)

References 46 publications

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“…Research on microscopic particles under impact loads has gradually become the focus (Uzi and Levy, 2020). The flexoelectric effect on elastic waves is investigated in nano-sized cracked structures; the finite element formula of strain gradient piezoelectric under dynamic load was established (Sladek et al. , 2018).…”

Section: Metal Materials Under Impact Loadsmentioning

confidence: 99%

Evaluation and prediction of material fatigue characteristics under impact loads: review and prospects

Liu

et al. 2022

IJSI

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PurposeThe properties of materials under impact load are introduced in terms of metal, nonmetallic materials and composite materials. And the application of impact load research in biological fields is also mentioned. The current hot research topics and achievements in this field are summarized. In addition, some problems in theoretical modeling and testing of the mechanical properties of materials are discussed.Design/methodology/approachThe situation of materials under impact load is of great significance to show the mechanical performance. The performance of various materials under impact load is different, and there are many research methods. It is affected by some kinds of factors, such as the temperature, the gap and the speed of load.FindingsThe research on mechanical properties of materials under impact load has the characteristics as fellow. It is difficult to build the theoretical model, verify by experiment and analyze the data accumulation.Originality/valueThis review provides a reference for further study of material properties.

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Section: Metal Materials Under Impact Loadsmentioning

confidence: 99%

Evaluation and prediction of material fatigue characteristics under impact loads: review and prospects

Liu

et al. 2022

IJSI

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“…In the past decade, several numerical methods have been proposed to study the flexoelectric effect in flexoelectric solids, such as the mesh free Galerkin method [18,19], the isogeometric analysis [20,21], the higher-order FEM [22][23][24], and the mixed finite element method (MFEM) [7,[25][26][27][28][29]. Previous works mainly focused on the flexoelectric effect under the static load, and only a few investigations involved the dynamics of the process [30,31]. Unfortunately, even for those works on dynamic cases, neither the mechanical wave propagation nor the converse flexoelectric effect has been considered.…”

Section: Introductionmentioning

confidence: 99%

Modeling mechanical waves propagation in flexoelectric solids

Zhou,

Tian,

Deng

et al. 2024

Smart Mater. Struct.

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In this paper, the propagation of mechanical waves in flexoelectric solids with the consideration of both the direct and converse flexoelectric effects is studied via a collocation mixed finite element method (MFEM). The dynamic effects associated with mechanical waves propagation are accounted by introducing the kinetic energy in the Hamilton's principle. In the proposed collocation MFEM, a quadratic polynomial is independently assumed for each component of the mechanical strain and electric field. The independently assumed mechanical strain and electric field are collocated with their counterparts computed from the displacement and electric potential at 9 Gaussian quadrature points. Thus, except for the fundamental field variables, no additional degrees of freedom (DOFs) are introduced. By performing the numerical experiments using the collocation MFEM, it is found that due to the direct flexoelectric effect, the propagation of mechanical waves can result in electric polarization in materials. Besides, the converse flexoelectric effect can induce mechanical waves when there are non-uniform transient electric field applied to the material. Numerical results indicate that by increasing the loading speed of the time varying mechanical displacement load, the direct flexoelectric effect associated with the mechanical strain gradient could be significantly enhanced.

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“…Atomistic models explicitly describe the individual atoms during their dynamic evolution (Robertson et al [4], Garg and Sinnott [5], Belytschko et al [6]), while the molecular dynamics (Bao et al [7]) takes into consideration the interactions occurring at the material microstructure. Continuum mechanics based models extending the range of classical continuum mechanics by bridging its basic theoretical principles with the most fundamental effects observed at the nanolevel are as follows, see Manolis et al [8]: the higher order and non-local elasticity models (Thai et al [9], Sladek et al [10,11]) and the surface elasticity ones based on the pioneering work of Gurtin and Murdoch [12,13] and Gurtin et al [14], see Parvanova et al [15][16][17][18][19], Rangelov et al [20][21][22], Dineva et al [23,24]. The Gurtin-Murdoch theory was motivated in part by empirical observations pointing to the presence of compressive surface stress in certain types of crystals.…”

Section: Introductionmentioning

confidence: 99%

“…[9], Sladek et al. [10, 11]) and the surface elasticity ones based on the pioneering work of Gurtin and Murdoch [12, 13] and Gurtin et al. [14], see Parvanova et al.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of elastic anisotropic solid with nanoinclusions

Parvanova

Dineva

2023

Z Angew Math Mech

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The finite elastic anisotropic solid with multiple elastic isotropic/anisotropic nanoinclusions of arbitrary shape, size, number and geometrical configuration subjected to time‐harmonic or transient loads is examined under plane strain conditions. The proposed mechanical model is based on a hybrid usage of elastodynamic theory for the bulk elastic anisotropic solid under non‐classical boundary conditions (BC), supplemented with a localized constitutive equation for the solid‐nanoinclusion interface in the framework of the Gurtin‐Murdoch theory of surface elasticity. The developed and verified numerical scheme for solution of the transient problem is based on the hybrid usage of direct and inverse Fourier transform (FFT), boundary element method (BEM) in conjunction with closed form frequency dependent fundamental solution of elastodynamic equation for anisotropic materials. The proposed model is flexible, numerically efficient and has virtually no limitations regarding the type of material anisotropy, nanoinclusions’ shape, size, number and geometrical configuration. The numerical results show a marked dependence of the wave fields on the surface elasticity effects, on the size, number and position of the nanoinclusions, on the type of material anisotropy, on the type and properties of the dynamic load, on the mutual interactions between nanoinclusions and between them and the external solid's boundary.

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Gradient piezoelectricity for cracks under an impact load

Cited by 11 publications

References 46 publications

Evaluation and prediction of material fatigue characteristics under impact loads: review and prospects

Evaluation and prediction of material fatigue characteristics under impact loads: review and prospects

Modeling mechanical waves propagation in flexoelectric solids

Dynamic response of elastic anisotropic solid with nanoinclusions

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