Strain gradient theory based on a new framework of non-local model

A new framework of non-local model for the strain energy density is proposed in this paper. The global strain energy density of the representative volume element is treated as a non-local variable and can be obtained through a special integral of the local strain energy density. The local strain energy density is assumed to be dependent on both the strain and the rotation-gradient. As a result of the non-local model, a new strain gradient theory is derived directly, in which the first and second strain gradients, as well as the triadic and tetradic stress, are introduced in the context of work conjugate. For power law hardening materials, size effects in thin metallic wire torsion and ultra-thin cantilever beam bend are investigated. It is found that the result predicted by the theoretical model is well consistent with the experimental data for the thin wire torsion. On the other hand, the calculation result for the micro-cantilever beam bend clearly shows the size effect.

New Strain Gradient Theory And Analysis

A new strain gradient theory which is based on energy nonlocal model is proposed in this paper, and the theory is applied to investigate the size effects in thin metallic wire torsion, ultra-thin beam bending and micro-indentation of polycrystalline copper. First, an energy nonlocal model is suggested. Second, based on the model, a new strain gradient theory is derived. Third, the new theory is applied to analyze three representative experiments.

能量非局部模型和新的应变梯度理论

提出一种新的基于能量非局部模型的应变梯度理论,并应用此理论对多晶铜以及薄膜基底的微压痕硬度进行理论预测和数值分析.首先,提出了能量非局部模型,并由此模型,得出新应变梯度理论的本构关系;其次,由变分原理,得出相应的有限元公式;再次,给出了微压痕硬度的有限元分析方法;最后,将该理论预测结果与经典理论预测结果以及实验结果进行了对比.结果表明,计算结果与实验结果相符;而经典理论的预测结果远低于实验结果.

Nonlinear X-wave formation and conical emission at different powers of a femtosecond laser pulse in water

Nonlinear X-wave formation at different pulse powers in water is simulated using the standard model of nonlinear Schrodinger equation (NLSE). It is shown that in near field X-shape originally emerges from the interplay between radial diffraction and optical Kerr effect. At relatively low power group-velocity dispersion (GVD) arrests the collapse and leads to pulse splitting on axis. With high enough power, multi-photon ionization (NIPI) and multi-photon absorption (MPA) play great importance in arresting the collapse. The tailing part of pulse is first defocused by MPI and then refocuses. Pulse splitting on axis is a manifestation of this process. Double X-wave forms when the split sub-pulses are self-focusing. In the far field, the character of the central X structure of conical emission (CE) is directly related to the single or double X-shape in the near field. (c) 2007 Elsevier B.V. All rights reserved.

Philip公式确定吸渗率时间尺度研究

选用直径5 cm和10 cm的盘式吸渗仪,对杨凌土(粘土)和神木砂黄土(砂壤土)两种质地的土壤在1 cm、3 cm6、cm9、cm和12 cm水头5种负压下进行了室内盘式吸渗仪三维吸渗实验,选取Vandervaere公式作为参考模型,对Philip公式确定吸渗率的时间尺度选取进行了分析。结果表明,对两种质地的土壤,在相同盘径下,随着负压的降低,吸渗率随之减小;在相同负压下,盘径越小,吸渗率越大;质地较砂的砂黄土吸渗率明显大于质地较粘的土的吸渗率。从相对误差来看,两种质地土壤吸渗率均被高估;在同一盘径下,随着负压的减小,误差值逐渐降低;即在选取的时间范围内,负压越低,计算吸渗率的准确性越高。对土而言,5 cm盘径下-12 cm水头1、0 cm盘径下-9 cm水头和-12 cm水头时确定吸渗率的适宜时间分别为30~40 s和40~50 s;其余确定吸渗率的适宜时间均应小于30 s;对砂黄土而言,10 cm盘径下-9 cm水头和-12 cm水头时确定吸渗率的适宜时间分别为30~40 s和40~50 s,其余确定吸渗率的适宜时间也均应小于30 s。对于质地较砂的土壤推荐使用大盘径进行盘式吸渗仪实验。

土壤侵蚀高维指数非线性模型及其参数辨识

模型验证和数据库组建基础上,用WinEPIC模型定量模拟研究了黄土高原半湿润区长武、半干旱区固原和半干旱偏旱区海原20～30年内苜蓿草地水分生产潜力、10m土层土壤有效含水量和土壤湿度剖面分布特征的动态变化.结果表明:长武、固原和海原苜蓿草地水分生产潜力模拟值随降水量变化而呈现波动性降低趋势,其平均值分别为8.81、3.83和2.48t.hm-2;长武、固原和海原苜蓿草地10m土层逐月土壤有效含水量模拟值均呈现明显的波动性降低趋势,模拟初期,4～8年生苜蓿草地土壤干燥化趋势十分强烈,此后,随降水量变化长期在较低水平上波动;随着苜蓿生长年限的延长,苜蓿草地土壤干层逐年加深、加厚,长武、固原和海原土壤干层分布深度达到10m所需时间依次为6、6和4年,此后苜蓿草地降水渗深以下土层长期维持较为稳定的干燥化状态;苜蓿草地水分持续利用的合理年限为半湿润区8～10年,半干旱区6～8年,半干旱偏旱区4～6年.

Biologically Inspired Features for Scene Classification in Video Surveillance

Inspired by human visual cognition mechanism, this paper first presents a scene classification method based on an improved standard model feature. Compared with state-of-the-art efforts in scene classification, the newly proposed method is more robust, more selective, and of lower complexity. These advantages are demonstrated by two sets of experiments on both our own database and standard public ones. Furthermore, occlusion and disorder problems in scene classification in video surveillance are also first studied in this paper.