应用数学和力学

2024 Vol. 45, No. 4

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Solid Mechanics
Interdisciplinary Mechanics
Applied Mathematics

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2024, 45(4)

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Solid Mechanics

Software Development for Stand Seam Roof Systems Based on the LiToSim Platform

LIU Min, LIU Xiang, FENG Zhiqiang, GU Shuitao

2024, 45(4): 379-390. doi: 10.21656/1000-0887.440150

Abstract(385) HTML (134) PDF(51) [Cited by] (1)

Abstract:
The stand seam roof is prone to failure under wind pressure. There is a lack of mechanical models and finite element analysis software that can numerically simulate the wind-induced response of stand seam roof systems. Firstly, the elastoplastic equivalent spring model for the stand seam roof was pr...

A Three-Dimensional Adaptive Finite Element Method for Phase-Field Models of Fracture

QIU Shasha, LIU Xingze, NING Wenjie, YAO Weian, DUAN Qinglin

2024, 45(4): 391-399. doi: 10.21656/1000-0887.440299

Abstract(455) HTML (259) PDF(84) [Cited by] (4)

Abstract:
A robust predictor-corrector algorithm was developed and a 3D adaptive finite element analysis for the fracture phase-field model was established. This model can deal with complex fracture problems conveniently, avoiding extra tracking of crack paths and without mesh-dependency. However, the 3D phas...

Boundary Element Analysis for the Plane Elasticity Problems of Finite Icosahedral Quasicrystal Plates Containing Elliptical Holes

WANG Huiping, WANG Guixia, CHEN Decai

2024, 45(4): 400-415. doi: 10.21656/1000-0887.440241

Abstract(468) HTML (174) PDF(39) [Cited by] (1)

Abstract:
Based on the extended Stroh method, a boundary element analysis was conducted for the plane elasticity problem of finite-sized icosahedral quasicrystal plates with elliptical holes. Firstly, the extended Stroh method was used to study Green's function for the icosahedral quasicrystal, to obtain the ...

Interdisciplinary Mechanics

Research on Bridge Performance Degradation Prediction Based on Combination of the D-S Theory and the Markov Chain

YANG Guojun, TIAN Li, TANG Guangwu, MAO Jianbo, DU Yongfeng

2024, 45(4): 416-428. doi: 10.21656/1000-0887.440343

Abstract(478) HTML (187) PDF(44)

Abstract:
To accurately predict bridge performance degradation, the inherent data randomness and the subtle perturbations leading to state transitions were considered. A combined prediction method for the bridge performance degradation based on the D-S theory and the Markov chain, and the performance degradat...

A Defect Identification Method for Bonding Layers of Adhesive Steel Members Based on Machine Learning

YAO Hao, XIA Guiran, LIU Zejia, ZHOU Licheng

2024, 45(4): 429-442. doi: 10.21656/1000-0887.440365

Abstract(370) HTML (139) PDF(47) [Cited by] (6)

Abstract:
The effects of bonding layer defects on ultrasonic detection signals of bonded steel reinforced structures were deeply studied and a new method for the bonding layer defect identification based on machine learning was proposed. Firstly, based on the direct contact pulse-echo reflection method, the f...

A Random Forest Evaluation Model for Pavement Skid Resistance Based on Comprehensive Fractal

PENG Yi, ZHANG Zhengqi, LI Qiang, YANG Guangwei

2024, 45(4): 443-457. doi: 10.21656/1000-0887.440244

Abstract(409) HTML (164) PDF(33) [Cited by] (2)

Abstract:
The pavement anti-skid performance directly affects road traffic safety, and the evaluation methods based on pavement texture features currently have problems of poor interpretability and low accuracy. Herein, 185 sets of pavement texture data were collected by the portable 3D laser surface analyzer...

Non-Probabilistic Reliability Indexes Based on the Generalized Super Ellipsoid Model

QIAO Xinzhou, ZHAO Yuetong, FANG Xiurong, LIU Peng

2024, 45(4): 458-469. doi: 10.21656/1000-0887.440061

Abstract(386) HTML (173) PDF(33) [Cited by] (2)

Abstract:
The non-probabilistic convex model only requires the bounds or domains of structural uncertain parameters to measure structural reliability, and therefore is more appropriate for engineering structures with limited experimental data. The problem of non-probabilistic reliability measurement of the ge...

Applied Mathematics

A Class of Right-Hand Discontinuous Singularly Perturbed Boundary Value Problems With Turning Points

SHUAI Xin, NI Mingkang

2024, 45(4): 470-489. doi: 10.21656/1000-0887.440353

Abstract(423) HTML (178) PDF(43)

Abstract:
The asymptotic behavior of solutions to a class of right-hand discontinuous 2nd-order semilinear singularly perturbed boundary value problems with turning points was studied. Firstly, the original problem was divided into left and right problems at the discontinuity, the accuracy of the asymptotic s...

A Continuous Space-Time Mixed Finite Element Method for Sine-Gordon Equations

WANG Chunyuan, LI Hong, HE Siriguleng

2024, 45(4): 490-501. doi: 10.21656/1000-0887.440293

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Abstract:
The mixed finite element method was combined with the continuous space-time finite element method to construct a continuous space-time mixed finite element scheme for sine-Gordon equations, through the introduction of independent variable p=u_t to solve the equations. This scheme uses the finite elem...

Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

CAO Qi, FENG Min

2024, 45(4): 502-508. doi: 10.21656/1000-0887.440245

Abstract(339) HTML (145) PDF(56)

Abstract:
The nonsmooth semi-infinite multiobjective optimization problems were investigated. The higher-order weak KKT sufficient optimality conditions for strictly local efficient solutions were established in terms of higher-order lower Studniarski derivatives. Furthermore, under the assumption that all mu...