Modeling the Interaction Between Inclusions and Nanocracks in Flexoelectric Solids

Xu, Mengkang; Tian, Xinpeng; Deng, Qian; Li, Qun

doi:10.1115/1.4062659

Cited by 3 publications

(4 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Substituting equations ( 13)-( 17) into equation ( 12), the governing equation for the dynamics of the flexoelectric solid B can be derived. Since the Hamilton's principle in equation ( 12) holds for any time interval [0, t], it can be inferred that equation (12) still holds when t approaches infinitely small. Then we can obtain the following equation at any instantaneous moment:…”

Section: Flexoelectricity Theorymentioning

confidence: 99%

“…In equation ( 29), α 11 , α 22 , and α 12 are constant vectors to be determined from the requirement of the compatibility between the displacements and strains. Their general expressions are given as α 11 = α 11 1 , α Here, we use the collocation method at 9 Gaussian quadrature points (ξ G 1 , ξ G 2 ) in each element to satisfy the compatibility between the displacement and strain.…”

Section: Finite Element Approximations Of the Strain And Elec-mentioning

confidence: 99%

“…9×9 are constant matrice associated with the coordinates of Gauss points. Thus, by using the collocation method at Gauss points for the strain, we establish the relation between α 11 , α 22 , α 12 , and the displacements at element nodes. Then, after substituting equation ( 36) into ( 29), we have…”

Section: Finite Element Approximations Of the Strain And Elec-mentioning

confidence: 99%

“…or pyramid [5][6][7], and introducing nano-cracks, dislocations, lattice mismatches, or nano-inclusions [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling mechanical waves propagation in flexoelectric solids

Zhou,

Tian,

Deng

et al. 2024

Smart Mater. Struct.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Flexoelectricity Theorymentioning

confidence: 99%

Section: Finite Element Approximations Of the Strain And Elec-mentioning

confidence: 99%

Section: Finite Element Approximations Of the Strain And Elec-mentioning

confidence: 99%

“…or pyramid [5][6][7], and introducing nano-cracks, dislocations, lattice mismatches, or nano-inclusions [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling mechanical waves propagation in flexoelectric solids

Zhou,

Tian,

Deng

et al. 2024

Smart Mater. Struct.

Self Cite

View full text Add to dashboard Cite

show abstract

Piezo‐Flexocatalysis of Single‐Atom Pt‐Loaded Graphitic Carbon Nitride

Wang,

Lin,

Chen

et al. 2023

Small Methods

View full text Add to dashboard Cite

This study develops a single‐atom Pt‐loaded graphitic carbon nitride (SA‐Pt/CN) and evaluates its piezo‐flexocatalytic properties by conducting a hydrogen evolution reaction (HER) and Rhodamine B (RB) dye degradation test under ultrasonic vibration in the dark. SA‐Pt/CN has a hydrogen gas yield of 1283.8 µmol g−1 h−1, which is 23.3 times higher than that of pristine g‐C3N4. Moreover, SA‐Pt/CN enhances the dye degradation reaction rate by ≈2.3 times compared with the pristine sample. SA‐Pt/CN exhibits lattice distortion and strain gradient enlargement caused by the single atom Pt at the N sites of g‐C3N4, which disrupts the symmetric structure and contributes to the enhancement of piezoelectric and flexoelectric polarization. As far as it is known, this is the first study to investigate the piezo‐flexocatalytic reaction of SA‐Pt/CN without light irradiation and provides new insights into single‐atom piezocatalysts.

show abstract

Size-dependent mechanical analysis of porous functionally graded piezoelectric micro/nanoscale structures: a literature review

Zheng,

Zhang,

Zhao

et al. 2024

Smart Mater. Struct.

View full text Add to dashboard Cite

Recent advancements in fabrication techniques, such as the development of powder metallurgy, have made it possible to tailor the mechanical properties of functionally gradient piezoelectric(FGP) micro/nanostructures. This class of structures can be used to improve the performance of many micro/nanoelectromechanical systems because of their spatially varying mechanical and electrical properties. The importance of FGP micro/nanoscale structures has been demonstrated by the growing number of published works on their size-dependent mechanical characteristics, including their static bending, buckling and vibration using scale-dependent continuum-based models. Reviewing recent developments in the field of non-classical continuum mechanics, this paper examines the size-dependent mechanical analysis of porous FGP micro/ nanostructures. Five sophisticated theories of piezoelectricity —modified couple stress, strain gradient, surface effect, as well as nonlocal and nonlocal strain gradient theory, for example—are given special consideration in light of their potential to forecast unusual mechanical performance and wave characteristics in porous FGP micro/nanostructures and devices. In the future, porous FGP micro/nanostructures with multi-field couplings may be studied or designed, and this article may be a helpful resource.

show abstract

Modeling the Interaction Between Inclusions and Nanocracks in Flexoelectric Solids

Cited by 3 publications

References 47 publications

Modeling mechanical waves propagation in flexoelectric solids

Modeling mechanical waves propagation in flexoelectric solids

Piezo‐Flexocatalysis of Single‐Atom Pt‐Loaded Graphitic Carbon Nitride

Size-dependent mechanical analysis of porous functionally graded piezoelectric micro/nanoscale structures: a literature review

Contact Info

Product

Resources

About