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期刊论文 [116]
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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:
Guo, Ling
;
Wu, Hao
;
Yu, Xiaochen
;
Zhou, Tao
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2023/02/07
Physics -informed neural networks
Fractional Laplacian
Nonlocal operators
Uncertainty quantification
Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories
期刊论文
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 2022
作者:
Peng, Wei
;
Qi, Zezhang
;
He, Tianhu
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  |  
浏览/下载:18/0
  |  
提交时间:2022/09/22
Thermoviscoelastic response
nonlocal dual-phase-lag heat conduction model
modified coupled stress theory
fractional Kelvin-Voigt model
harmonic thermal loading
polymer microbeam
Dual-phase-lag thermoelastic diffusion analysis of a size-dependent microplate based on modified fractional-order heat conduction model
期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022
作者:
Tian, Lingchen
;
Peng, Wei
;
He, Tianhu
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  |  
浏览/下载:13/0
  |  
提交时间:2022/09/22
A fractional dual-phase-lag generalized thermoelastic model of ultrashort pulse laser ablation with variable thermal material properties, vaporization and plasma shielding
期刊论文
International Journal of Thermal Sciences, 2022, 卷号: 177
作者:
Li, Yan
;
Peng, Muqiu
;
He, Tianhu
;
Tian, Xiaogeng
;
Liao, Kai
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  |  
浏览/下载:16/0
  |  
提交时间:2022/04/21
Heat affected zone
Laser ablation
Nonmetallic materials
Pulsed lasers
Shielding
Thermoelasticity
Transient analysis
Ultrashort pulses
Dual phase lag
Fractional dual-phase-lag generalized thermoelastic theory
Generalized thermoelastic
Plasma shielding
Pulse laser ablation
Recession velocity
Surface recession
Surface recession velocity
Temperature-dependent material properties
Thermo-elastic theory
Ultrashort pulse laser ablation
A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source
期刊论文
Applied Mathematics and Mechanics (English Edition), 2022, 卷号: 43, 期号: 4, 页码: 507-522
作者:
Peng, Wei
;
Chen, Like
;
He, Tianhu
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  |  
浏览/下载:16/0
  |  
提交时间:2022/04/21
Anelastic relaxation
Laplace transforms
Stress-strain curves
Fractional order
Fractional-order strain
Fractional-order thermal conduction
Generalized thermo-viscoelasticity
Moving heat sources
O343.6
Size-dependent effect
Thermal conduction
Thermoviscoelasticity
Existence of solutions to elliptic equation with mixed local and nonlocal operators
期刊论文
AIMS MATHEMATICS, 2022, 卷号: 7, 期号: 7, 页码: 13313-13324
作者:
Li, Xiangrui
;
Huang, Shuibo
;
Wu, Meirong
;
Huang, Canyun
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  |  
浏览/下载:19/0
  |  
提交时间:2022/07/19
non-smooth variational approach
mixed local and nonlocal operators
A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating
期刊论文
ACTA MECHANICA, 2022, 卷号: 233, 期号: 1, 页码: 383-397
作者:
Peng, Wei
;
Chen, Like
;
He, Tianhu
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  |  
浏览/下载:14/0
  |  
提交时间:2022/03/01
Heat conduction
Laplace transforms
Ultrashort pulses
Viscoelasticity
Fourier
Fractional order
Heat conduction models
Heat-conduction law
Laser-pulse heating
Microrods
Nonlocal
Order parameter
Thermo-viscoelastic
Viscoelastic models
A memory-dependent thermal-viscoelastic model and its application in heating-induced nonlocal response analysis of a polymer microbeam
期刊论文
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2021
作者:
Peng, Wei
;
Chen, Like
;
He, Tianhu
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  |  
浏览/下载:8/0
  |  
提交时间:2021/10/14
Memory-dependent derivative
fractional Kelvin-Voigt model
size-dependent effect
polymer microbeam
thermo-viscoelastic response
LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 5, 页码: 2269-2283
作者:
Cao, Daomin
;
Qin, Guolin
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  |  
浏览/下载:31/0
  |  
提交时间:2021/04/26
Fractional Laplacians
Henon-Lane-Emden systems
decay estimates
higher-order fractional Laplacians
Lionville type theorems
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces
期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
作者:
Lunardi, Alessandra
;
Rockner, Michael
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  |  
浏览/下载:2/0
  |  
提交时间:2021/04/26
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