A DFE2-SPCE Method for Multiscale Parametric Analysis of Heterogenous Piezoelectric Materials and Structures
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Abstract
This paper employs the Direct Finite Element Squared (DFE2) method to develop Sparse Polynomial Chaos Expansions (SPCE) models for analyzing the electromechanical properties of multiscale piezoelectric structures. By incorpor... | Find, read and cite all the research you need on Tech Science Press
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OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Non-Destructive Testing Techniques
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References (69)
Show source-provided references
1. A systematic review of piezoelectric materials and energy harvesters for industrial applications10.3390/s21124145 ↗
2. Survey of active structural control and repair using piezoelectric patches10.3390/act4020077 ↗
3. Thermo-electro-mechanical vibration analysis for piezoelectric plates under two-parameter elastic foundation with general boundary conditions10.1016/j.ijengsci.2024.104057 ↗
4. A unified analysis model of FGM double-layered submarine type coupled structure with spectral geometry method10.1016/j.oceaneng.2022.113213 ↗
5. High voltage coefficient piezoelectric materials and their applications10.1016/j.jeurceramsoc.2021.06.022 ↗
6. Textured Mn-doped PIN-PMN-PT ceramics: harnessing intrinsic piezoelectricity for high-power transducer applications10.1016/j.jeurceramsoc.2020.07.071 ↗
7. Implementation of multiscale mechanisms in finite element analysis of active composite structures10.1177/00219983221082492 ↗
8. Bending vibration characteristics of the piezoelectric composite double laminated vibrator10.1016/j.ceramint.2021.07.302 ↗
9. A Galerkin approach for analysing coupling effects in the piezoelectric semiconducting beams10.1016/j.euromechsol.2023.105145 ↗
10. Jia · J Alloys Compd · 2021 · 881 · 16066610.1016/j.jallcom.2021.160666 ↗
11. Increase of capacitance of thick dielectrics by fringe effect10.1109/TDEI.2019.008291 ↗
12. Large thermal-electrical response and rectifying conduction behavior in asymmetrically reduced ferroelectric ceramics10.1021/acsaelm.8b00107 ↗
13. Effects of density inhomogeneity in green body on the structure and properties of ferroelectric ceramics10.1007/s10854-021-06211-y ↗
14. Ferroelectric ceramics: history and technology10.1111/j.1151-2916.1999.tb01840.x ↗
15. Multiscale composite analysis in Abaqus: theory and motivations
16. FEM-BEM analysis of acoustic interaction with submerged thin-shell structures under seabed reflection conditions10.1016/j.oceaneng.2024.118554 ↗
17. Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM10.1016/j.enganabound.2021.11.005 ↗
18. A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—application to 2D acoustic scattering problems10.1002/nme.7345 ↗
19. Acoustic shape optimization based on isogeometric boundary element method with subdivision surfaces10.1016/j.enganabound.2022.11.010 ↗
20. Deep-neural-network-based framework for the accelerating uncertainty quantification of a structural-acoustic fully coupled system in a shallow sea10.1016/j.enganabound.2024.106112 ↗
21. Multi-physics computational grains (MPCGs) for direct numerical simulation (DNS) of piezoelectric composite/porous materials and structures10.1007/s00466-014-1044-y ↗
22. Homogenization of heterogeneous piezoelectric medium10.1016/S0093-6413(96)00081-X ↗
23. Numerical homogenization techniques applied to piezoelectric composites10.1121/1.1537710 ↗
24. Generalized multiscale finite element method for piezoelectric problem in heterogeneous media10.1016/j.enganabound.2021.09.014 ↗
25. Mesoscopic and multiscale modelling in materials10.1038/s41563-020-00913-0 ↗
26. Advances in developing electromechanically coupled computational methods for piezoelectrics/ferroelectrics at multiscale10.1115/1.4025633 ↗
27. A hierarchical multiscale approach for predicting thermo-electro-mechanical behavior of heterogeneous piezoelectric smart materials10.1016/j.commatsci.2014.01.059 ↗
28. Comprehensive investigation on hierarchical multiscale homogenization using representative volume element for piezoelectric nanocomposites10.1016/j.compositesb.2010.10.010 ↗
29. Computational homogenization of fibrous piezoelectric materials10.1007/s00466-015-1147-0 ↗
30. An efficient multiscale computational formulation for geometric nonlinear analysis of heterogeneous piezoelectric composite10.1016/j.compstruct.2017.02.005 ↗
31. Analysis of smart laminated composites integrated with piezoelectric patches using spectral element method and lamination parameters10.1016/j.jsv.2023.118063 ↗
32. High-fidelity dynamics of piezoelectric covered metamaterial timoshenko beams using the spectral element method10.1088/1361-665X/aceba5 ↗
33. Feyel · Comput Mater Sci · 1999 · 16 · 34410.1016/S0927-0256(99)00077-4 ↗
34. Feyel · Comput Methods Appl Mech Eng · 2003 · 192 · 323310.1016/S0045-7825(03)00348-7 ↗
35. A class of general algorithms for multi-scale analyses of heterogeneous media10.1016/S0045-7825(01)00179-7 ↗
36. Feyel · Revue Européenne Des éléments Finis · 2001 · 10 · 44910.1080/12506559.2001.11869262 ↗
37. Papadopoulos · Compos Struct · 2016 · 136 · 58210.1016/j.compstruct.2015.10.025 ↗
38. Tikarrouchine · Compos Struct · 2018 · 193 · 16510.1016/j.compstruct.2018.03.072 ↗
39. Herwig · Compos Struct · 2018 · 201 · 59710.1016/j.compstruct.2018.06.033 ↗
40. Xu · Compos Struct · 2019 · 211 · 53010.1016/j.compstruct.2018.12.028 ↗
41. Tan · Comput Methods Appl Mech Eng · 2020 · 360 · 11269410.1016/j.cma.2019.112694 ↗
42. Chen · Eng Fract Mech · 2022 · 269 · 10853710.1016/j.engfracmech.2022.108537 ↗
43. Transient multi-scale analysis with micro-inertia effects using Direct FE 2 method10.1007/s00466-021-02012-6 ↗
44. Numerical analysis of the vibration response of skew magneto-electro-elastic plates based on the higher-order shear deformation theory10.1016/j.compstruct.2019.02.010 ↗
45. Design method for piezoelectric cantilever beam structure under low frequency condition10.1016/j.ijprt.2017.08.001 ↗
46. Enhancing deep neural networks for multivariate uncertainty analysis of cracked structures by POD-RBF10.1016/j.tafmec.2023.103925 ↗
47. Multivariate uncertainty analysis of fracture problems through model order reduction accelerated SBFEM10.1016/j.apm.2023.08.040 ↗
48. Bayesian uncertainty analysis for underwater 3D reconstruction with neural radiance fields10.1016/j.apm.2024.115806 ↗
49. Uncertainty quantification of vibro-acoustic coupling problems for robotic manta ray models based on deep learning10.1016/j.oceaneng.2024.117388 ↗
50. Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains10.1016/j.apm.2022.09.030 ↗
51. Stochastic BEM with spectral approach in elastostatic and elastodynamic problems with geometrical uncertainty10.1016/j.enganabound.2005.01.007 ↗
52. Random field finite elements10.1002/nme.1620231004 ↗
53. Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods10.1016/j.cma.2024.117464 ↗
54. A hybrid sequential sampling strategy for sparse polynomial chaos expansion based on compressive sampling and Bayesian experimental design10.1016/j.cma.2021.114130 ↗
55. A new surrogate modeling technique combining Kriging and polynomial chaos expansions-Application to uncertainty analysis in computational dosimetry10.1016/j.jcp.2015.01.034 ↗
56. Polynomial chaos expansion for surrogate modelling: theory and software10.1002/best.201800048 ↗
57. Isogeometric dual reciprocity BEM for solving non-Fourier transient heat transfer problems in FGMs with uncertainty analysis10.1016/j.ijheatmasstransfer.2022.123783 ↗
58. Adaptive sparse polynomial chaos expansion based on least angle regression10.1016/j.jcp.2010.12.021 ↗
59. A robust and efficient stepwise regression method for building sparse polynomial chaos expansions10.1016/j.jcp.2016.12.015 ↗
60. Bayesian sparse polynomial chaos expansion for global sensitivity analysis10.1016/j.cma.2017.01.033 ↗
61. Some greedy algorithms for sparse polynomial chaos expansions10.1016/j.jcp.2019.01.035 ↗
62. Sparse polynomial chaos expansion based on D-MORPH regression
63. An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis10.1016/j.probengmech.2009.10.003 ↗
64. Active sparse polynomial chaos expansion for system reliability analysis10.1016/j.ress.2020.107025 ↗
65. Sparse polynomial chaos expansions: literature survey and benchmark
66. Li · Comput Methods Appl Mech Eng · 2024 · 420 · 11669610.1016/j.cma.2023.116696 ↗
67. Accelerating Monte Carlo estimation with derivatives of high-level finite element models10.1016/j.cma.2017.01.041 ↗
68. Abaqus Analysis User’s Guide (6.14). Abaqus. 2013.
69. Yang · Mechanics of piezoelectric structures · 200610.1142/6057 ↗