An adaptive selective ES-FEM for plastic collapse analysis

Nguyen‐Xuan, H.; Wu, C. T.; Liu, G.R.

doi:10.1016/j.euromechsol.2016.02.005

Cited by 42 publications

(12 citation statements)

References 45 publications

(83 reference statements)

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“…This problem also investigated by Zouain et al [12], Makrodimopoulos et al [16], Munoz et al [28], H. Nguyen-Xuan et al [71]. The upper bound solutions of this problem was reported in [17], namely α + = 1.825 for ϕ = 0 • and α + = 1.063 for ϕ = 30 • using 177426 stress variables and in [71], namely α + = 1.817 for ϕ = 0 • using 34948 stress variables and α + = 1.061 for ϕ = 30 • using 29768 stress variables are used as reference upper bound values. Also, the lower bound solutions given in [16], namely α − = 1.8089 for ϕ = 0 • and α − = 1.0562 for ϕ = 30 • and in [28] , namely α − = 1.8119 for ϕ = 0 • and α − = 1.0581 for ϕ = 30 • .…”

Section: Block With Two Symmetric Holesmentioning

confidence: 80%

An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis

Nguyen‐Xuan

Hien

Chau

2018

Computer Methods in Applied Mechanics and Engineering

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We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely cohesive-frictional and cohesive materials. It is shown that the most computational efficiency for collapse plastic problems is to employ an adaptive mesh strategy on quadtree meshes. However, a major difficulty in finite element formulations is the appearance of hanging nodes during adaptive process. This can be resolved by a definition of conforming quadtree meshes in the context of polygonal elements. Piecewise-linear shape functions in barycentric coordinates are used to approximate the velocity field. Numerical results prove the reliability and benefit of the present approach.

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Section: Block With Two Symmetric Holesmentioning

confidence: 80%

An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis

Nguyen‐Xuan

Hien

Chau

2018

Computer Methods in Applied Mechanics and Engineering

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“…Recently, smoothed finite element methods (S-FEMs) based on adaptive mesh are also applied to the FSI computations to reduce overall cost [22]. Among these S-FEMs, the edge-based S-FEM (ES-FEM) is found to be the most computationally efficient [23,24]. With regard to meshfree methods, Rabczuk and Eibl [25] and Fakhimi and Lanari [26] described the fluid interactions with large motion of structures by using a smooth particle hydrodynamics (SPH) method.…”

Section: Comparisons Based On Numerical Simulationmentioning

confidence: 99%

PPV and Frequency Characteristics of Tunnel Blast‐Induced Vibrations on Tunnel Surfaces and Tunnel Entrance Slope Faces

Wang

Yang

Zhang

et al. 2021

Shock and Vibration

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Tunnel blast-induced vibration probably causes damage to the rock mass surrounding the tunnel surface and also to the rock mass of the slope at the tunnel entrance. It is important to simultaneously monitor the vibration on the tunnel surface and on the tunnel entrance slope face, especially when the blasting work face is close to tunnel entrance. During blasting excavation of the traffic tunnel at Baihetan hydropower station, vibration monitors were installed both on the tunnel surface and on the tunnel entrance slope face. Based on the monitoring data, a comparative study is conducted on the peak particle velocity (PPV) and frequency characteristics of the vibrations at these two locations. A three-dimensional FEM simulation of the tunnel blast is then performed to verify the field test results. The field monitoring and the numerical simulation show that there is significant difference between the vibration on the tunnel surface and that on the tunnel entrance slope face. The vibration on the tunnel surface has greater PPV and faster attenuation, while the tunnel entrance slope face has higher frequency and faster reduction rate in the center frequency. These differences are attributed to the different wave types and wave propagation paths. The tunnel surface is mainly surface waves transmitted through the damaged rock mass around the tunnel profile, while the tunnel entrance slope face originates mainly from the body waves transmitted via the undamaged rock mass inside the mountain. The comparisons of the monitored vibrations with the velocity limits specified in the Chinese standard show that the most dangerous vibration that may exceed the limit occurs on the tunnel surface. Therefore, the maximum charge weight used in the tunnel blast is determined by the vibration on the tunnel surface. Under different control standards, the allowable maximum charge weight per delay is further discussed.

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“…Similar to ES-FEM, the FS-FEM is more accurate than the standard FEM using the same T4 mesh for dynamic problems [39] and both linear and nonlinear problems [36]. Because of its excellent properties, S-FEM has been applied to a wide range of practical mechanics problems such as fracture mechanics and fatigue behavior [40][41][42][43], nonlinear material behavior analysis [35,38,[44][45][46][47][48], plates and shells [49][50][51][52], piezoelectric structures [43,[53][54][55], heat transfer and thermomechanical problems [56][57][58][59], vibration analysis and acoustics problems [39,58,[60][61][62], and fluid and structure interaction problems [63][64][65][66]. We refer the reader to [67,68] for recent in-depth reviews of S-FEM.…”

Section: Related Workmentioning

confidence: 99%

A Smoothed Finite Element‐Based Elasticity Model for Soft Bodies

Zhang

Zhou

Huang

et al. 2017

Mathematical Problems in Engineering

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One of the major challenges in mesh-based deformation simulation in computer graphics is to deal with mesh distortion. In this paper, we present a novel mesh-insensitive and softer method for simulating deformable solid bodies under the assumptions of linear elastic mechanics. A face-based strain smoothing method is adopted to alleviate mesh distortion instead of the traditional spatial adaptive smoothing method. Then, we propose a way to combine the strain smoothing method and the corotational method. With this approach, the amplitude and frequency of transient displacements are slightly affected by the distorted mesh. Realistic simulation results are generated under large rotation using a linear elasticity model without adding significant complexity or computational cost to the standard corotational FEM. Meanwhile, softening effect is a by-product of our method.

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An adaptive selective ES-FEM for plastic collapse analysis

Cited by 42 publications

References 45 publications

An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis

An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis

PPV and Frequency Characteristics of Tunnel Blast‐Induced Vibrations on Tunnel Surfaces and Tunnel Entrance Slope Faces

A Smoothed Finite Element‐Based Elasticity Model for Soft Bodies

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