A neural network-based approach for bending analysis of strain gradient nanoplates

A framework based on physics-informed neural networks and extreme learning for the analysis of composite structures

(2022) C.A. Yan et al.   COMPUTERS & STRUCTURES

Optimization of a Radial Point Interpolation Meshless strategy for strain gradient nanoplates

(2022) Serena Saitta et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the static, vibration, and transient responses of micro-plates made of materials with different microstructures

(2022) C.M.C. Roque et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning

(2021) Xiaoying Zhuang et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics

(2021) Ehsan Haghighat et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On the wave dispersion in functionally graded porous Timoshenko-Ehrenfest nanobeams based on the higher-order nonlocal gradient elasticity

(2021) S. Ali Faghidian et al.   COMPOSITE STRUCTURES

A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate

(2021) BingBing Wang et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the analytical and meshless numerical approaches to mixture stress gradient functionally graded nano-bar in tension

(2021) S. Ali Faghidian et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

(2020) E. Samaniego et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A stable and efficient meshfree Galerkin method with consistent integration schemes for strain gradient thin beams and plates

(2020) BingBing Wang et al.   THIN-WALLED STRUCTURES

Conforming and nonconforming laminated finite element Kirchhoff nanoplates in bending using strain gradient theory

(2020) M. Bacciocchi et al.   COMPUTERS & STRUCTURES

Two‐phase local/nonlocal gradient mechanics of elastic torsion

(2020) S. Ali Faghidian   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems

(2019) Dongkun Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solution for cross- and angle-ply laminated Kirchhoff nano plates in bending using strain gradient theory

(2019) F. Cornacchia et al.   COMPOSITES PART B-ENGINEERING

Strain gradient differential quadrature Kirchhoff plate finite element with the C2 partial compatibility

(2019) Bo Zhang et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

New static and dynamic analyses of macro and nano FGM plates using exact three-dimensional elasticity in thermal environment

(2018) Shahriar Dastjerdi et al.   COMPOSITE STRUCTURES

Bending analysis of FG plates using a general third-order plate theory with modified couple stress effect and MLPG method

(2018) V.S. Khorasani et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Carbon nanomaterials and their application to electrochemical sensors: a review

(2018) Aoife C. Power et al.   Nanotechnology Reviews

Analytical solution for strain gradient elastic Kirchhoff rectangular plates under transverse static loading

(2018) Bishweshwar Babu et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new computationally efficient finite element formulation for nanoplates using second-order strain gradient Kirchhoff's plate theory

(2018) Bishweshwar Babu et al.   COMPOSITES PART B-ENGINEERING

Buckling analysis of functionally graded microbeams based on the strain gradient theory

(2013) Bekir Akgöz et al.   ACTA MECHANICA

Strain gradient beam element

(2013) M.H. Kahrobaiyan et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory

(2011) Bekir Akgöz et al.   ARCHIVE OF APPLIED MECHANICS

An inverse approach to determination of residual stresses induced by shot peening in round bars

(2009) G.H. Farrahi et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES