Authors: Qiang Zhang, Xiu Run Ge, Shui Lin Wang
Abstract: The purpose of this paper is to study the shear behavior of rock specimens containing joints with various distribution forms. Two sets of specimens are simulated by the rock failure process analysis code (RFPA2D). The friction-sliding failure pattern occurs with the lower undulation angle specimen, and the failure pattern turns to be tensile-shear failure mode gradually with the increase of undulation angle. The specimen possesses the highest peak shear load when the undulation angle is about 30º. And joint rock shear character also deteriorates with the increase of weak interlayer thickness. In the intermittent joint model, the unified connection ratio specimen’s peak shear load increases with rock bridge amount, and the multi-joint mode is beneficial to keep rock mass shear stiffness. This study comes to meaningful results to the expansion of joint rock strength evolution law with various joint distribution forms.
149
Authors: Ying Hui Lu, Shui Lin Wang, Hao Jiang
Abstract: the inverse analysis to material parameters is often translated into an optimization for an
objective function, based on the correlation between the material parameters and the foregone
information. But mostly because of the non-linear correlation, a good optimization algorithm with
the capabilities to avoid being trapped by local optima is required during the process of
optimization. So the present paper proposes a new global optimization algorithm, which couples the
dynamic canonical descent algorithm and the improved Powell’s algorithm. The high efficiency of
the new algorithm is shown on four known problems classically for testing optimization algorithms
and finally, in the non-linear inverse analysis, the new algorithm is used for optimizing an objective
function to get material parameters rightly.
1013
Authors: Ying Hui Lu, Shui Lin Wang, Hao Jiang, Xiu Run Ge
Abstract: In geotechnical engineering, based on the theory of inverse analysis of displacement, the
problem for identification of material parameters can be transformed into an optimization problem.
Commonly, because of the non-linear relationship between the identified parameters and the
displacement, the objective function bears the multimodal characteristic in the variable space. So to
solve better the multimodal characteristic in the non-linear inverse analysis, a new global
optimization algorithm, which integrates the dynamic descent algorithm and the modified BFGS
(Brogden-Fletcher-Goldfrab-Shanno) algorithm, is proposed. Five typical multimodal functions in
the variable space are tested to prove that the new proposed algorithm can quickly converge to the
best point with few function evaluations. In the practical application, the new algorithm is employed
to identify the Young’s modulus of four different materials. The results of the identification further
show that the new proposed algorithm is a very highly efficient and robust one.
1407
Authors: Yu Yong Jiao, Xiu Li Zhang, Shui Lin Wang, Huo Zhen Wu
Abstract: This study is to present a numerical investigation on fragmentation and perforation of
concrete slab by hard projectile using discrete particle approaches. Discrete Element Method (DEM)
and Discontinuous Deformation Analysis (DDA), the two representative discrete particle approaches,
are employed to simulate a normal perforation of concrete slab by a hard ogival-nose shaped
projectile, and the phenomena of spalling, plugging and scabbing are reproduced.
2973
Authors: Shui Lin Wang, Ying Hui Lu, Yu Yong Jiao, Chun Guang Li
Abstract: There are a large number of cracks, joints and layers with different scales and
orientations in the rock masses. With the structural formation in it, the rock mass is unlike the
isotropic and homogenous materials in physics and mechanics characteristics, and the failure of the
rock mass is controlled by those discontinuities. This paper studies the stability of a jointed rock
slope with bedding-planes. Universal Distinct Element Code (UDEC) is used to carry out the
numerical analysis. The factor of safety (FOS) and failure mode are obtained by strength reduction
technique before and after the steel bolts are installed in the slope. In addition, the forces along the
bolts indicate that they reaches the maximum value in the potential slip surface of the slope.
2509
Authors: Shui Lin Wang, Yu Yong Jiao, Haibin Xiao, Chun Guang Li
Abstract: There are several different yield surfaces of Drucker-Prager yield criterion which
corresponds to Mohr-Coulomb yield criterion in principal stress space. The different yield surfaces are determined by parameters in Drucker-Prager criterion. The influence of the different parameters on computational results is discussed in the paper, and the use of the equivalent Drucker-Prager criterion to Mohr-Coulomb criterion is suggested when elastoplastic analysis is performed in engineering problems.
1449
Authors: Shui Lin Wang, Xia Ting Feng, Yu Yong Jiao, Xiu Run Ge, Chun Guang Li
Abstract: A numerical technique based on using manifold elements in finite element method, for
modeling propagation of arbitrary cracks in solids, is described. When the region with crack(s)is subjected to external loading and the crack(s) starts to extend, the crack growth may intersect boundaries of nearby finite elements. Those intersected finite elements are replaced by manifold elements. The technique, by which the initial finite element mesh can be kept unchanged during the processes of crack propagation, is called manifold elements in finite element method. The crack growth is governed by the theories of linear elastic fracture mechanics. The stress intensity factors are computed by a contour integral technique and crack trajectory is determined by applying the maximum tangential stress criterion. Finally, test examples are given to verify the new method and the predicted trajectories are compared to experimentally obtained crack growth paths with good agreements
511
Authors: Chun Guang Li, Xiu Run Ge, Hong Zheng, Shui Lin Wang
Abstract: A series of formulas about two-parameter parabolic Mohr strength criterion(2-PP Mohr criterion) are derived. Based on the results of uniaxial tension and uniaxial compression tests, the parameters involved in the criterion can be easily determined, then the criterion in terms of the major principal stress and the minor principal stress is derived, and the damage pattern is also discussed. At last, the formulas about the rupture angle and the friction angle are presented, and their relationship is also given. 2-PP Mohr criterion can describe not only shear but also tensile failure. In this criterion the ratio of the uniaxial compression strength and the uniaxial tension strength is not confined as in Griffith criterion. The formula about the rupture angle provides steady theoretical foundation for determining the direction of crack faces and damage patterns in the computation of macro crack propagation. In fact, Griffith criterion is only a special case of the two-parameter parabolic Mohr
strength criterion proposed in this present paper.
327
Authors: Shui Lin Wang, Xia Ting Feng, Xiu Run Ge
Abstract: In finite element method, the order of complete polynomial of the interpolation function is related to the number of nodes in the element. This paper presents a four-node quadrilateral element with quadratic function on it. The presented displacement functions maintain C0-continuity. Meanwhile, the element stiffness matrix is derived from the displacement functions. Test problems show that high accuracy can be achieved by the use of the new displacement function on the element.
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