- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Composite Structure Analysis and Optimization
- Fatigue and fracture mechanics
- Probabilistic and Robust Engineering Design
- Topology Optimization in Engineering
- Advanced Multi-Objective Optimization Algorithms
- Metal Forming Simulation Techniques
- Vibration and Dynamic Analysis
- Geotechnical Engineering and Underground Structures
- Metallurgy and Material Forming
- Wind and Air Flow Studies
- Fluid Dynamics Simulations and Interactions
- Solar Thermal and Photovoltaic Systems
- Solar-Powered Water Purification Methods
- Contact Mechanics and Variational Inequalities
- Ultrasonics and Acoustic Wave Propagation
- Surface Treatment and Residual Stress
- Dam Engineering and Safety
- Nonlocal and gradient elasticity in micro/nano structures
- Fluid Dynamics and Vibration Analysis
- Erosion and Abrasive Machining
- Acoustic Wave Phenomena Research
- Aerodynamics and Fluid Dynamics Research
University of Nottingham Ningbo China
2023-2024
Hunan University
2008-2017
China Academy of Launch Vehicle Technology
2015-2017
A linearly conforming point interpolation method (LC-PIM) is developed for 2D solid problems. In this method, shape functions are generated using the polynomial basis and a scheme selection of local supporting nodes based on background cells suggested, which can always ensure moment matrix invertible as long there no coincide nodes. Galerkin weak form adopted creating discretized system equations, nodal integration with strain smoothing operation used to perform numerical integration. The...
Abstract Linearly conforming point interpolation method (LC‐PIM) is formulated for three‐dimensional elasticity problems. In this method, shape functions are generated using by adopting polynomial basis and local supporting nodes selected based on the background cells. The so constructed have Kronecker delta property it allows straightforward imposition of essential boundary conditions. Galerkin weak form used creating discretized system equations, a nodal integration scheme with...
It has been proven by the authors that both upper and lower bounds in energy norm of exact solution to elasticity problems can now be obtained using fully compatible finite element method (FEM) linearly conforming point interpolation (LC-PIM). This paper examines bound property radial (LC-RPIM), where Radial Basis Functions (RBFs) are used construct shape functions node-based smoothed strains formulate discrete system equations. is found LC-RPIM also provides problems, it much sharper than...
Abstract A formulation for thin plates with only the deflection as nodal variables has been proposed using generalized gradient smoothing technique and radial point interpolation method (RPIM). The fields are approximated RPIM shape functions which possess Kronecker Delta property easy impositions of essential boundary conditions. Three types domains, also serving numerical integrations constructed based on background three‐node triangular cells operation is performed over each them to...