Displacement ring load Green's functions for saturated porous transversely isotropic tri‐material full‐space

Based on the Biot's poroelastic theory and using scalar potential functions both the ring load and point load displacement Green's functions for a transversely isotropic saturated porous full‐space composed of an upper half‐space, a finite thickness middle layer and a lower half‐space is analytically presented for the first time. It is assumed that each region consists of a different transversely isotropic material. The equations of poroelastodymanics in terms of the solid displacements and the pore fluid pressure are uncoupled with the help of two scalar potential functions, so that the governing equations for the potential functions are either a second order wave equation or a repeated wave‐heat transfer equation of sixth order. With the aid of Fourier expansion with respect to circumferential direction and Hankel integral transforms with respect to the radial direction in cylindrical coordinate system, the response is determined in the form of line integrals in the real space, followed by theorem of inverse Hankel integral transforms. The solutions degenerate to a single phase elastic material, and the results are compared with previous studies, where an excellent agreement may be observed with the results provided in the literature. Some examples of displacement Green's functions are finally given to illustrate the solution. Copyright © 2016 John Wiley & Sons, Ltd.     

Spatial and temporal intensification of lateral hyporheic flux in narrowing intra‐meander zones

Meander bends in alluvial rivers morphologically evolve towards meander cut‐off with narrowing intra‐meander necks, and this should steepen hydraulic gradients and intensify intra‐meander hyporheic flux. This research used dye tracking and head loss measurements in a 1 : 500 planimetrically scaled laboratory river table to quantify the spatial and temporal intensification of intra‐meander flux rates at two evolution ages. The younger meander bend, M1, had a sinuosity of 2.3, a river neck width of 0.39 cm, and 0.6% river slope, and the older meander bend, M3, had a sinuosity of 5.2, a river neck width of 0.12 cm, and 0.5% river slope. Flux into and out of the meander bend was estimated along the normalized curvilinear distance s*, with the meander neck at s* = 0.1 and s* = 0.9, the meander centroid at s* = 0.37 and s* = 0.63, and the apex at s* = 0.5. Between the meander centroid and neck, we documented a 60% spatial intensification for M1 and a 90% spatial intensification for M3. Between M1 and M3, we documented a 135% temporal intensification at the neck and a 100% intensification at the centroid. Our empirical spatial and temporal intensification rates involving the M1 and the M3 scenario were one to three times lower than theoretical rates derived from a river evolution model with equivalent M1 and M3 planimetry. Overestimation by the theoretical model was attributed to exaggerated head loss caused by the model neglecting groundwater contributions to river stage. Hyporheic exchange provides critical ecosystem services, and its spatial and temporal variation with meander evolution should be considered in river management. Copyright © 2012 John Wiley & Sons, Ltd.     

Solution of quasi‐static large‐strain problems by the material point method

A procedure for solving quasi‐static large‐strain problems by the material point method is presented. Owing to the Lagrangian–Eulerian features of the method, problems associated with excessive mesh distortions that develop in the Lagrangian formulations of the finite element method are avoided. Three‐dimensional problems are solved utilizing 15‐noded prismatic and 10‐noded tetrahedral elements with quadratic interpolation functions as well as an implicit integration scheme. An algorithm for exploiting the numerical integration procedure on the computational mesh is proposed. Several numerical examples are shown. Copyright © 2010 John Wiley & Sons, Ltd.     

局部凸线性拓扑空间Kannan型非扩张集值映射不动点定理

在Hausdorff局部凸线性拓扑空间中得到了Kannan型非扩张集值映射不动点定理,附带给出单值映射族具有公共不动点的结果。     

高位池养殖凡纳滨对虾生长的研究

用高位池养殖凡纳滨对虾(Litopenaeus vannamei)进行生长研究。凡纳滨对虾养殖密度为135~165万尾/hm2,养殖海水盐度10.0~16.0,温度28.1~34.2℃,pH值7.6~8.8,DO5.0~6.0 mg/L。结果表明:凡纳滨对虾体长(L)与体重(W)的对应关系为:W=0.01 955L2.784;体长生长方程:Lt=13.82(1-е-0.012 01(t-0.699 4));体重生长方程:Wt=29.250 7×(1-е-0.012 01×(t-0.699 4))3;体长生长速率方程:dl/dt=13.823 1×0.012 01×е-0.01 20 1×(t-0.699 4);体重生长速率方程:dw/dt=3×29.250 7×0.012 01×е-0.012 01×(t-0.699 4)×(1-е-0.01201(t-0.699 4)2);高位池养殖凡纳滨对虾拐点年龄为91.36 d,拐点年龄前体长增长较快,拐点年龄后体长增长相对较慢,而拐点年龄前体重增长较慢,拐点年龄后体重增长较快。     

自适应人脸肌肉模型特定化技术

肌肉模型是人脸表情动画中常用的控制模型之一。很多基于肌肉模型的人脸动画中都实现了从一般人脸模型到特定人脸模型的修改，对肌肉模型特定化的介绍很少，或只是简单的提供一些用户交互接口，很难得到比较满意的结果。鉴于此，提出了自适应人脸肌肉模型特定化技术。实验证明，技术可取得较好的动画效果。     

Collapse loads for rectangular foundations by three-dimensional upper bound limit analysis using radial point interpolation method

A three-dimensional kinematic limit analysis approach based on the radial point interpolation method (RPIM) has been used to compute collapse loads for rectangular foundations. The analysis is based on the Mohr-Coulomb yield criterion and the associated flow rule. It is understood that the internal plastic power dissipation function and flow rule constraints can be expressed entirely in terms of plastic strain rates without involving stresses. The optimization problem has been solved on basis of the semidefinite programming (SDP) by using highly efficient primal-dual interior point solver MOSEK in MATLAB. The results have been presented in terms of the variation of the shape factors with changes in the aspect ratio (L/B) of the footing for different values of soil internal friction angle (ϕ). Computations have revealed that the shape factors, s_c and s_q, due to effects of cohesion and surcharge increase continuously with (1) decrease in L/B and (2) increase in ϕ. On the other hand, the shape factor s_γ, due to the effect of soil unit weight, increases very marginally with an increase in L/B up to (1) ϕ = 25° for a rough footing and (2) ϕ = 35° for a smooth footing. Thereafter, for greater values of ϕ, the variation of s_γ with L/B has been found to be quite similar to that of the factors s_c and s_q. The variations of (1) nodal velocity patterns, (2) plastic power dissipation, and (3) maximum plastic shear strain rates have also been examined to interpret the associated failure mechanism.     

Simplified analytical solution for point load acting behind a cantilever wall

The analysis of earth pressure resulting from an applied point load behind a retaining wall is to be carried out in three dimensions as the earth pressure distribution varies both in vertical and horizontal directions. In this research, the semi‐empirical expressions developed by Terzaghi [Trans. ASCE 1954; 119 ] for earth pressure due to point load are integrated and a correction factor is introduced to develop equivalent equations for two‐dimensional analyses. A new parameter referred to as the design width, which is the horizontal distance retained by the individual vertical retaining element is introduced. The used procedure and the resulted equations are tested and verified by adopting different design width values covering the practical range. The resulted equations together with the semi‐empirical expressions of earth pressure due to line load developed by Terzaghi [Trans. ASCE 1954; 119 ] can be easily used for two‐dimensional analysis of the effect of point load. Copyright © 2011 John Wiley & Sons, Ltd.     

Consolidation analysis of saturated multi‐layered soils with anisotropic permeability caused by a point sink

This paper presents the analytical layer‐element method to analyze the consolidation of saturated multi‐layered soils caused by a point sink by considering the anisotropy of permeability. Starting from the governing equations of the problem, the solutions of displacements and stresses for a single soil layer are obtained in the Laplace–Hankel transformed domain. Then, the analytical layer‐element method is utilized to further derive the solutions for the saturated multi‐layered soils in the transformed domain by combining with the boundary conditions of the soil system and continuity conditions between adjacent layers. The actual solutions in the physical domain can be acquired by the inversion of Laplace–Hankel transform. Numerical results are carried out to show the accuracy and stability of the proposed method and evaluate the influence of sink depth and anisotropic permeability on excess pore pressure and surface settlement. Copyright © 2011 John Wiley & Sons, Ltd.     

土体含水率监测的移动点热源法研究

土体含水率监测的线热源法对加热功率要求较高,当热源强度不稳定时,监测结果容易受到影响。为了解决线热源法的不足,提出了土体含水率监测的移动点热源（point heat source,PHS）法。该方法利用土体热物性与含水率之间的相关性,通过监测土体中PHS的降温规律间接识别含水率。通过数值模拟研究了点热源在含水率均匀分布的土体中的传热规律,根据热源降温曲线的特征,定义了含水率判别指标η,进而建立了含水率与判别指标的拟合关系,并对监测灵敏度的影响因素进行了参数分析。在含水率非均匀分布的土体中开展了点热源降温规律的数值模拟,根据测点降温时程曲线计算含水率判别指标,并利用含水率与判别指标的拟合公式反演含水率分布。结果表明,点热源法反演得到的含水率分布与实际值吻合较好,验证了该方法的理论可行性。通过模型试验进一步验证了该方法的可行性。