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A collocation mixed finite element method for the analysis of flexoelectric solids

  1. TitleA collocation mixed finite element method for the analysis of flexoelectric solids
    Author Tian Xinpeng SAVSTAV - Ústav stavebníctva a architektúry SAV
    Co-authors Sládek Ján SAVSTAV - Ústav stavebníctva a architektúry SAV    RID    ORCID

    Sládek Vladimír SAVSTAV - Ústav stavebníctva a architektúry SAV

    Deng Qian

    Li Qun

    Source document International Journal of Solids and Structures. Vol. 217-218 (2021), p. 27-39
    Languageeng - English
    Document kindrozpis článkov z periodík (rbx)
    CitationsKIM, M. A Numerical Framework for Geometrically Nonlinear Deformation of Flexoelectric Solids Immersed in an Electrostatic Medium. In JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME. ISSN 0021-8936, 2021, vol. 88, no. 8, art. no. 081004.
    LIU, Kaiyuan - JI, Hui - WU, Tonghui - SHEN, Shengping - ZHANG, Shuwen - XU, Minglong. Mechanical design of uniform strain-gradient schemes for transverse and longitudinal flexoelectricity. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2022, vol. 238, art. no. 111414. ISSN 0020-7683. Dostupné na: https://doi.org/10.1016/j.ijsolstr.2021.111414.
    BIAN, P.L. - QING, H. Structural analysis of nonlocal nanobeam via FEM using equivalent nonlocal differential model. In ENGINEERING WITH COMPUTERS. ISSN 0177-0667, AUG 2023, vol. 39, no. 4, p. 2565-2581. Dostupné na: https://doi.org/10.1007/s00366-021-01575-5.
    DENG, F. - YU, W.S. - LIANG, X. - SHEN, S.P. A mixed finite element method for large deformation of flexoelectric materials. In APPLIED MATHEMATICAL MODELLING. ISSN 0307-904X, JUN 2023, vol. 118, p. 303-321. Dostupné na: https://doi.org/10.1016/j.apm.2023.01.029.
    TANNHäUSER, K. - SERRAO, P.H. - KOZINOV, S. Second-Order Collocation-Based Mixed FEM for Flexoelectric Solids. In SOLIDS. MAR 2023, vol. 4, no. 1, p. 39-70. Dostupné na: https://doi.org/10.3390/solids4010004.
    ZHU, S. - YU, H.J. - WANG, B. - HAO, L.L. - LIU, S.Z. - WANG, J.S. - GUO, L.C. A Domain-Independent Interaction Integral for Dynamic Fracture in Nonhomogeneous Magneto-Electro-Elastic Materials. In ENGINEERING FRACTURE MECHANICS. ISSN 0013-7944, APR 14 2023, vol. 282, art. no. 109168. Dostupné na: https://doi.org/10.1016/j.engfracmech.2023.109168.
    DENG, F. - YU, W.S. - LIANG, X. - SHEN, S.P. The existence and uniqueness theorem for linear flexoelectricity and application to the Galerkin approximation. In MATHEMATICS AND MECHANICS OF SOLIDS. ISSN 1081-2865, OCT 2023, vol. 28, no. 10, p. 2278-2299. Dostupné na: https://doi.org/10.1177/10812865231164330.
    KRISHNASWAMY, J.A. - BURONI, F.C. - MELNIK, R. - RODRIGUEZ-TEMBLEQUE, L. - SAEZ, A. Flexoelectric enhancement in lead-free piezocomposites with graded inclusion concentrations and porous matrices. In COMPUTERS & STRUCTURES. ISSN 0045-7949, DEC 2023, vol. 289, art. no. 107176. Dostupné na: https://doi.org/10.1016/j.compstruc.2023.107176.
    TANNHäUSER, K. - SERRAO, P.H. - KOZINOV, S. A three-dimensional collocation finite element method for higher-order electromechanical coupling. In COMPUTERS & STRUCTURES. ISSN 0045-7949, JAN 15 2024, vol. 291, art. no. 107219. Dostupné na: https://doi.org/10.1016/j.compstruc.2023.107219.
    SERRAO, P.H. - KOZINOV, S. Robust mixed FE for analyses of higher-order electromechanical coupling in piezoelectric solids. In COMPUTATIONAL MECHANICS. ISSN 0178-7675, MAY 2024, vol. 73, no. 5, p. 1203-1217. Dostupné na: https://doi.org/10.1007/s00466-023-02407-7.
    BIE, Y.H. - WEI, Y.G. - RABCZUK, T. - REN, H.L. The implicit stabilized dual-horizon peridynamics-based strain gradient damage model. In APPLIED MATHEMATICAL MODELLING. ISSN 0307-904X, APR 2024, vol. 128, p. 630-658. Dostupné na: https://doi.org/10.1016/j.apm.2024.01.040.
    BARCELó-MERCADER, J. - CODONY, D. - MOCCI, A. - ARIAS, I. Computational homogenization of higher-order electro-mechanical materials with built-in generalized periodicity conditions. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, APR 1 2024, vol. 423, art. no. 116861. Dostupné na: https://doi.org/10.1016/j.cma.2024.116861.
    JIANG, W.W. - GAO, X.W. Review of Collocation Methods and Applications in Solving Science and Engineering Problems. In CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. ISSN 1526-1492, 2024, vol. 140, no. 1, p. 41-76. Dostupné na: https://doi.org/10.32604/cmes.2024.048313.
    SERRAO, P.H. - KOZINOV, S. A novel 3D mixed finite element for flexoelectricity in piezoelectric materials. In INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, AUG 30 2024, vol. 125, no. 16, art. no. e7500. Dostupné na: https://doi.org/10.1002/nme.7500.
    YANG, Q.F. - LI, X.D. - LIU, Z.W. - JIN, F. - QU, Y.L. A Nonlinear Mixed Finite Element Method for the Analysis of Flexoelectric Semiconductors. In JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME. ISSN 0021-8936, JUL 1 2024, vol. 91, no. 7, art. no. 071008. Dostupné na: https://doi.org/10.1115/1.4065161.
    YANG, X. - CHEN, L.L. - YANG, S.Y. New Insight into the Flexoelectricity in the View of Mechanics of Materials: Prismatic Beams Subjected to Bending. In ACTA MECHANICA SOLIDA SINICA. ISSN 0894-9166, AUG 2024, vol. 37, no. 4, p. 555-569. Dostupné na: https://doi.org/10.1007/s10338-024-00495-3.
    SUTTER, F. - KAMLAH, M. Macroscopic modeling of flexoelectricity-driven remanent polarization in piezoceramics. In EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. ISSN 0997-7538, NOV-DEC 2024, vol. 108, art. no. 105410. Dostupné na: https://doi.org/10.1016/j.euromechsol.2024.105410.
    JAGDISH, A.K. - BURONI, F.C. - MELNIK, R. - RODRIGUEZ-TEMBLEQUE, L. - SáEZ, A. Flexoelectric anisotropy and shear contributions in lead-free piezocomposites. In MECHANICS RESEARCH COMMUNICATIONS. ISSN 0093-6413, SEP 2024, vol. 140, art. no. 104321. Dostupné na: https://doi.org/10.1016/j.mechrescom.2024.104321.
    SONG, C.L. - ZHANG, M. - MING, W.J. - FAN, X.H. - HUANG, B.Y. - LI, J.Y. Analyzing flexoelectric polarization of suspended membrane by nonlinear bending theory of plate. In JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. ISSN 0022-5096, DEC 2024, vol. 193, art. no. 105898. Dostupné na: https://doi.org/10.1016/j.jmps.2024.105898.
    HUANG, Huaiwei - HUANG, Haibo. Numerical Simulation of Electromechanical Coupling Response of Nano Flexoelectric Structures. In Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), 2024-01-01, 52, 1, pp. 147-156. ISSN 1000565X. Dostupné na: https://doi.org/10.12141/j.issn.1000-565X.220835.
    LI, J.J. - ZHOU, S.J. A SMOOTHED NATURAL NEIGHBOR GALERKIN METHOD FOR FLEXOELECTRIC SOLIDS. In INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING. ISSN 1543-1649, 2025, vol. 23, no. 1, pp. 25-45. Dostupné na: https://doi.org/10.1615/IntJMultCompEng.2024053300.
    ZHANG, Y.B. - YU, H.J. - YAN, H.R. - WANG, J.S. Dynamic fracture analysis of nonhomogeneous micropolar materials. In ENGINEERING FRACTURE MECHANICS. ISSN 0013-7944, FEB 21 2025, vol. 315, art. no. 110774. Dostupné na: https://doi.org/10.1016/j.engfracmech.2024.110774.
    SHARMA, S. - ANITESCU, C. - RABCZUK, T. A discontinuous Galerkin method based isogeometric analysis framework for flexoelectricity in micro-architected dielectric solids. In COMPUTERS & STRUCTURES. ISSN 0045-7949, FEB 2025, vol. 308, art. no. 107641. Dostupné na: https://doi.org/10.1016/j.compstruc.2024.107641.
    SHANG, Y. - SUN, M. - CEN, S. - LI, C.F. Computational homogenization of flexoelectric composites within the consistent couple stress theory. In COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, MAR 15 2025, vol. 437, art. no. 117762. Dostupné na: https://doi.org/10.1016/j.cma.2025.117762.
    CategoryADCA - Scientific papers in foreign journals registered in Current Contents Connect with IF (impacted)
    Category of document (from 2022)V3 - Vedecký výstup publikačnej činnosti z časopisu
    Type of documentčlánok
    Year2021
    Registered inWOS
    Registered inSCOPUS
    Registered inCCC
    DOI 10.1016/j.ijsolstr.2021.01.031
    article

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    A collocation mixed finite element method for the analysis of flexoelectric solids.pdfNeprístupný/archív1.9 MB2Publisher's version
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    202120203.900Q11.229Q1
Number of the records: 1  

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