An efficient three-dimensional damage-based nonlocal model for dynamic tensile failure in concrete

2021 ◽  
pp. 103965
Author(s):  
Junjie Tang ◽  
Xiangzhen Kong ◽  
Qin Fang ◽  
Jian Hong ◽  
Juyu Fan
Keyword(s):  
Three Dimensional ◽  
Tensile Failure ◽  
Nonlocal Model

Quasi-Static Tensile Properties and Damage Mechanism of Three-Dimensional Angle-Interlock Woven Composites

2012 ◽  
Vol 182-183 ◽  
pp. 148-152
Author(s):  
Kun Luan ◽  
Fa Zhang ◽  
Li Wei Wu
Keyword(s):  
Tensile Properties ◽  
Composite Structures ◽  
Three Dimensional ◽  
Test System ◽  
Tensile Failure ◽  
Woven Composites ◽  
Uniaxial Tensile ◽  
Uniaxial Tensile Test ◽  
Absorption Mechanism ◽  
Dog Bone

The uniaxial tensile properties of three-dimensional angle-interlock woven composites (3DAWCs) under quasi-static loading were investigated in this paper. The samples were manufactured into dog-bone shape and tested on Material Test System 810.23. The strain-stress curves in warp direction indicating the Young’s moduli, maximum stress and maximum strain are achieved from the uniaxial tensile test. The effects of microstructure and damage morphology of 3DAWC under quasi-static tension are discussed. Furthermore, we will focus on the energy absorption mechanism from the view of tensile failure mode. The material parameters of 3DAWC in warp direction can be evaluated for developing quantitative approach to design polymer matrix composite structures.

Damage investigation on the adhesively bonded single-lap joints of three-dimensional braided composite and laminates

2017 ◽  
Vol 36 (10) ◽  
pp. 725-738 ◽  
Author(s):  
Xiao-Kang Li ◽  
Zhen-Guo Liu ◽  
YuChen Wei ◽  
Xiang Huang ◽  
Bing Lei
Keyword(s):  
Composite Structures ◽  
High Performance ◽  
Adhesive Bonding ◽  
Failure Process ◽  
Three Dimensional ◽  
Lap Joints ◽  
Tensile Failure ◽  
Failure Behavior ◽  
Braided Composite ◽  
Single Lap Joints

Adhesive bonding is usually used to fabricate composite structures that are hard to manufacture in one piece, however, their lightweight advantage is usually impaired by low failure strength. For high performance composite structures, bonding properties of joints dominate the failure performance and commonly are the primary target of structural optimization. Both experimental and numerical studies of failure behavior of single-lap joints with three-dimensional braided composite laminate adherends are presented in this paper. First, tensile failure tests were performed on braid-laminates single-lap joints bonded with epoxy resin. Compared with the laminates–laminates single-lap joints, the failure load of the braid–laminates single-lap joints increased by 18.4%. Then, the Finite Element Method (FEM) coupled with cohesive zone models (CZM), considering different value of overlap length (L), was used to perform the detail stress distribution of the overlap sections of SLJs. Further, damage initialization and crack growth of single-lap joints are analyzed in detail to fully characterize the failure process, and both experimental and numerical results lead to the same conclusion. Lastly, the effect of three-dimensional braided adherends’ braiding angle on braid-laminates single-lap joints’ performance was investigated, which provides suggestions for the design and optimization for adhesive bonded composite structures.

scholarly journals Optimal Control for a Nonlocal Model of Non-Newtonian Fluid Flows

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 275
Author(s):  
Evgenii S. Baranovskii ◽  
Mikhail A. Artemov
Keyword(s):  
Optimal Control ◽  
Variable Viscosity ◽  
Lower Semicontinuous ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Necessary Condition ◽  
Nonlocal Model ◽  
Marginal Function ◽  
Nonlinear Operator Equations ◽  
Continuous Mappings

This paper deals with an optimal control problem for a nonlocal model of the steady-state flow of a differential type fluid of complexity 2 with variable viscosity. We assume that the fluid occupies a bounded three-dimensional (or two-dimensional) domain with the impermeable boundary. The control parameter is the external force. We discuss both strong and weak solutions. Using one result on the solvability of nonlinear operator equations with weak-to-weak and weak-to-strong continuous mappings in Sobolev spaces, we construct a weak solution that minimizes a given cost functional subject to natural conditions on the model data. Moreover, a necessary condition for the existence of strong solutions is derived. Simultaneously, we introduce the concept of the marginal function and study its properties. In particular, it is shown that the marginal function of this control system is lower semicontinuous with respect to the directed Hausdorff distance.

scholarly journals Fully three-dimensional propagation model of horizontal borehole hydraulic fractures in strata under the effect of bedding planes

2018 ◽  
Vol 36 (5) ◽  
pp. 1189-1209 ◽  
Author(s):  
Bingxiang Huang ◽  
Jiangwei Liu
Keyword(s):  
Hydraulic Fracturing ◽  
Hydraulic Fracture ◽  
Three Dimensional ◽  
Fracture Morphology ◽  
Bedding Plane ◽  
Propagation Model ◽  
Tensile Failure ◽  
Propagation Mechanism ◽  
Hydraulic Fractures ◽  
Bedding Planes

The bedding plane effect will occur when hydraulic fractures propagate to the bedding plane in sedimentary strata, resulting in the “≠,” “工,” or “/” shaped fracture morphology. Based on previous physical experiments results, this article analyzed the mecroscopic propagation mechanism of tensile failure and the mechanical conditions for main hydraulic fracture and the bedding plane fracture propagating, proposing the criteria for hydraulic fracture to penetrate through the bedding plane. A fully three-dimensional model of hydraulic fracture morphology in horizontal borehole hydraulic fracturing is established with the vertical water flow, water leak-off, and bedding plane effect taken into consideration. Basic equations of continuity, pressure decline, hydraulic fracture morphology, and others are solved. After that, true triaxial hydraulic fracturing experiments with samples containing bedding planes are conducted to verify the aperture, length, width, and height of hydraulic fractures in this model. The model is proved to be accurate and reliable.

Cylindrical Borehole Failure in a Poroelastic Medium

2016 ◽  
Vol 83 (6) ◽  
Author(s):  
Yue Gao ◽  
Zhanli Liu ◽  
Zhuo Zhuang ◽  
Keh-Chih Hwang ◽  
Yonghui Wang ◽  
...  
Keyword(s):  
Shear Failure ◽  
Hydrostatic Stress ◽  
Drilling Fluid ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Tensile Failure ◽  
Porous Rock ◽  
Long Time ◽  
Poroelastic Model

Drilling a cylindrical borehole is the first and important step in oil mining. Borehole design and strength check are big problems of utmost importance. Biot introduced a poroelastic constitutive theory for porous rock with freely moving fluid inside. In this paper, by using Biot poroelastic model, we analyze a borehole with drilling fluid in an infinite porous rock with three-dimensional in situ stresses and obtain whole domain solutions for instantaneous, short-time, and long-time stress distributions. Maximum and minimum allowable drilling pressures are given for tensile failure and shear failure criterions, and allowable drilling pressure regions are drawn in the space of in situ hydrostatic stress P0, deviatoric stress S0, and pore pressure p0. By comparing with classical elastic constitutive relations, or Hooke's model, the necessity of Biot poroelastic constitutive relations is shown.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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