内蒙古锡林河流域草原植物和群落热值的时空变异研究

第一部分：内蒙古锡林河流域草原植物种群和群落热值的时空变异研究 热值的研究是评价生态系统能量固定、传输和转化的基础，也是评价植物光合作用效率和植物营养值的有用参数。同种植物热值会随着植物部位、光照、养分条件、季节、土壤类型和气候条件的不同而发生变化。不同的种类和类群之间热值也存在差异。本项研究以内蒙古锡林河流域中段草原植物群落为对象，研究了植物种群和群落热值的时空变异规律。 对内蒙古羊草草原群落不同植物种群热值的时问动态研究结果表明，42种植物地上部分的热值在13.16土1.14 kJ.g-l和18.14土0.53 kJ.g-1之间变动，所有物种的平均热值为16.90土0,84 kJ.g-1，种间变异系数4.9%。小叶锦鸡儿(Caraganamicrophylla)具有最高的热值。禾草的平均热值高于杂草。根据生活型和生长型，草本物种被进一步分组，热值从高到低的排列顺序为：高禾草>豆科植物>矮禾草>其余杂草>半灌木>一二年生植物。 主要植物种群地下部分热值的分布范围为15.05-16.41 kJ.g-1。其中根茎型草地下部分热值较高。不同种类植物地下部分热值差异并不与地上部分一致。根茎型禾草地上、地下部分热值差异较小，而须根型植物差异较大。不同种群的植物地上部分热值随植物物候期的不同而波动，其变化规律是与植物种群本身的生物学特性相联系的。不同植物种群热值的年际波动规律有所不同，羊草(Leymuschinensis)、大针茅(Stipa grandis)和洽草(Koeloria cristata)的年际热值波动相关显著，但与生长季降水量和生长季累积日照时数之间无明显相关性。在某种程度上，植物热值的种内变化反映了植物生长状况的差异。 42种植物的热值和它们在群落中的相对生物量存在显著正相关关系。表现为优势种(17.74 kJ.g-1)>伴生种(17.24 kJ．g-l)>偶见种(16.65 kJ.g-1)。高热值的植物更具竞争力，在群落中通常占据优势地位，而低热值的植物竞争力通常较弱，构成草原群落的伴生种或偶见种。 以内蒙古锡林河流域3个草原群落类型（羊草典型草原，大针茅典型草原，羊草草甸草原）的放牧退化梯度系列（包括未退化，轻度退化，中度退化和重度退化4个强度）为研究对象，对主要植物种群和群落热值随草原类型和退化梯度的空间变异规律及热值与其他群落和土壤性质的相关性进行了研究。 结果表明，研究区出现的60个植物种平均热值为17.25土0.92 kJ.g-1，变异系数5.4%．热值大于18.00 kJ.g-1的高能植物包括3种优势高禾草(羊草、大针茅和羽茅(A. sibiricum))和一些有毒植物，热值小于17.00 kJ.g-1的低能值植物包括多数一年生杂草;热值在17.00-18.00 kJ.g-1之间的中能值植物包括大多数多年生杂草和矮禾草。 按照生活型分类，灌木的热值最高，多年生禾草显著高于一二年生植物，半灌木和多年生杂草介于二者之间。按照水分生态类型分类，旱生植物、中旱生、旱中生和中生植物之间在热值上没有明显差异。不同科之间热值存在显著差异，禾本科、豆科、菊科植物热值较高，藜科植物平均热值最低。 二因素方差分析结果表明，主要优势物种热值在不同草原类型之间存在显著差异，表现为羊草草甸草原>羊草典型草原>大针茅典型草原。对于大多数优势禾草，热值没有随退化梯度发生明显变化，洽草(K. cristata)、冰草(A．ctistatum)和所有优势杂草随退化程度的增强热值趋于下降。对于大多数优势物种，热值随不同草原类型的空间变异大于放牧退化所导致的空间变异。 不同草原类型的群落热值为羊草草甸草原>羊草典型草原>大针茅典型草原，群落平均热值表现出随退化强度的增加而下降的趋势，这主要归因于沿退化梯度不同物种构成比例的变化，即随退化程度的加剧，高能值植物在群落中的比例下降。其次是特定物种热值随退化梯度的变化。在同一草原区，放牧对群落热值的影响大于立地条件之间的差异。 群落和主要物种热值均表现出与某些群落特征和土壤性质的相关性。 关键词：内蒙古，锡林河流域，羊草草原;物种和群落热值，时空变异，退化梯度，草原类型，土壤性质 第二部分内蒙古羊草草原17年刈割演替过程中功能群组成动态及其对群落净初级生产力稳定性的影响 基于17年的野外实验数据，研究了内蒙古羊草草原群落刈割演替过程中的功能群组成动态，探索功能群组成变化与群落净初级生产力(ANPP)之间的关系，分析结构参数怎样影响功能参数。结果显示：在17年的割草演替过程中，群落的结构与功能均发生了变化。随着羊草群落刈割演替的进行，群落的功能群组成发生了显著变化，根茎禾草在群落中的优势地位相继被一二年生植物，高丛生禾草，矮丛生禾草所取代。到17年末，群落变成根茎禾草，矮丛生禾草，高丛生禾草共同建群的群落。在对照群落中ANPP与年降水量显著相关，但在刈割群落中二者则不相关。年降水量解释对照群落ANPP变异的62%，而连年的刈割干扰则是刈割群落中ANPP动态的主要驱动因子。群落净初级生产则显出对刈割干扰的抵抗能力，在刈割干扰的前几年，依靠群落内功能群组成的不断调节，保持相对稳定的水平，当刈割进行5年之后，群落结构的变化积累到一定程度，净初级生产迅速下降到一个较低的水平，此后依靠群落结构的不断调节来维持这一功能水平。因此，群落结构是以渐变的方式改变的，而群落功能的下降则是以跃变的形式完成的。群落依赖于结构的不断调整来保持功能的相对稳定，但结构变化到一定程度也会导致功能的衰退。 关键词：内蒙古，羊草草原;刈割演替;功能群组成;净初级生产;群落;稳定性

Application of the Conjugate Gradient Optimization Algorithm of Neural Network on Laser Machining

在应用激光技术加工复杂曲面时,通常以采样点集为插值点来建立曲面函数,然后实现曲面上任意坐标点的精确定位。人工神经网络的BP算法能实现函数插值,但计算精度偏低,往往达不到插值精确要求,造成较大的加工误差。提出人工神经网络的共轭梯度最优化插值新算法,并通过实例仿真,证明了这种曲面精确定位方法的可行性,从而为激光加工的三维精确定位提供了一种良好解决方案。这种方法已经应用在实际中。

Strain gradient theory with couple stress for crystalline solids

A new phenomenological strain gradient theory for crystalline solid is proposed. It fits within the framework of general couple stress theory and involves a single material length scale Ics. In the present theory three rotational degrees of freedom omega (i) are introduced, which denote part of the material angular displacement theta (i) and are induced accompanying the plastic deformation. omega (i) has no direct dependence upon u(i) while theta = (1 /2) curl u. The strain energy density omega is assumed to consist of two parts: one is a function of the strain tensor epsilon (ij) and the curvature tensor chi (ij), where chi (ij) = omega (i,j); the other is a function of the relative rotation tensor alpha (ij). alpha (ij) = e(ijk) (omega (k) - theta (k)) plays the role of elastic rotation reason The anti-symmetric part of Cauchy stress tau (ij) is only the function of alpha (ij) and alpha (ij) has no effect on the symmetric part of Cauchy stress sigma (ij) and the couple stress m(ij). A minimum potential principle is developed for the strain gradient deformation theory. In the limit of vanishing l(cs), it reduces to the conventional counterparts: J(2) deformation theory. Equilibrium equations, constitutive relations and boundary conditions are given in detail. For simplicity, the elastic relation between the anti-symmetric part of Cauchy stress tau (ij), and alpha (ij) is established and only one elastic constant exists between the two tensors. Combining the same hardening law as that used in previously by other groups, the present theory is used to investigate two typical examples, i.e., thin metallic wire torsion and ultra-thin metallic beam bend, the analytical results agree well with the experiment results. While considering the, stretching gradient, a new hardening law is presented and used to analyze the two typical problems. The flow theory version of the present theory is also given.

Effect of Microtopography, Slope Length and Gradient, and Vegetative Cover on Overland Flow Through Simulation

Overland flow on a hillslope is significantly influenced by its microtopography, slope length and gradient, and vegetative cover. A 1D kinematic wave model in conjunction with a revised form of the Green-Ampt infiltration equation was employed to evaluate the effect of these surface conditions. The effect of these conditions was treated through the resistance parameter in the kinematic wave model. The resistance in this paper was considered to be made up of grain resistance, form resistance, and wave resistance. It was found that irregular slopes with microtopography eroded more easily than did regular slopes. The effect of the slope gradient on flow velocity and flow shear stress could be negative or positive. With increasing slope gradient, the flow velocity and shear stress first increased to a peak value, then decreased again, suggesting that there exists a critical slope gradient for flow velocity and shear stress. The vegetative cover was found to protect soil from erosion primarily by enhancing erosion-resisting capacity rather than by decreasing the eroding capability of overland flow.

The Flow Theory of Mechanism-Based Strain Gradient Plasticity

The flow theory of mechanism-based strain gradient (MSG) plasticity is established in this paper following the same multiscale, hierarchical framework for the deformation theory of MSG plasticity in order to connect with the Taylor model in dislocation mechanics. We have used the flow theory of MSG plasticity to study micro-indentation hardness experiments. The difference between deformation and flow theories is vanishingly small, and both agree well with experimental hardness data. We have also used the flow theory of MSG plasticity to investigate stress fields around a stationary mode-I crack tip as well as around a steady state, quasi-statically growing crack tip. At a distance to crack tip much larger than dislocation spacings such that continuum plasticity still applies, the stress level around a stationary crack tip in MSG plasticity is significantly higher than that in classical plasticity. The same conclusion is also established for a steady state, quasi-statically growing crack tip, though only the flow theory can be used because of unloading during crack propagation. This significant stress increase due to strain gradient effect provides a means to explain the experimentally observed cleavage fracture in ductile materials [J. Mater. Res. 9 (1994) 1734, Scripta Metall. Mater. 31 (1994) 1037; Interface Sci. 3(1996) 169].

Stress Wave Propagation in a Gradient Elastic Medium

The gradient elastic constitutive equation incorporating the second gradient of the strains is used to determine the monochromatic elastic plane wave propagation in a gradient infinite medium and thin rod. The equation of motion, together with the internal material length, has been derived. Various dispersion relations have been determined. We present explicit expressions for the relationship between various wave speeds, wavenumber and internal material length.

A new hardening law for strain gradient plasticity

A new hardening law of the strain gradient theory is proposed in this paper, which retains the essential structure of the incremental version of conventional J(2) deformation theory and obeys thermodynamic restrictions. The key feature of the new proposal is that the term of strain gradient plasticity is represented as an internal variable to increase the tangent modulus. This feature which is in contrast to several proposed theories, allows the problem of incremental equilibrium equations to be stated without higher-order stress, higher-order strain rates or extra boundary conditions. The general idea is presented and compared with the theory given by Fleck and Hutchinson (Adv. in Appl. Mech. (1997) 295). The new hardening law is demonstrated by two experimental tests i.e. thin wire torsion and ultra-thin beam bending tests. The present theoretical results agree well with the experiment results.

Deflections and Curvatures of a Film–Substrate Structure with the Presence of Gradient Stress in MEMS Applications

The close form solutions of deflections and curvatures for a film–substrate composite structure with the presence of gradient stress are derived. With the definition of more precise kinematic assumption, the effect of axial loading due to residual gradient stress is incorporated in the governing equation. The curvature of film–substrate with the presence of gradient stress is shown to be nonuniform when the axial loading is nonzero. When the axial loading is zero, the curvature expressions of some structures derived in this paper recover the previous ones which assume the uniform curvature. Because residual gradient stress results in both moment and axial loading inside the film–substrate composite structure, measuring both the deflection and curvature is proposed as a safe way to uniquely determine the residual stress state inside a film–substrate composite structure with the presence of gradient stress.

Analysis of residual stress gradient in MEMS multi-layer structure

Residual stress and its gradient through the thickness are among the most important properties of as-deposited films. Recently, a new mechanism based on a revised Thomas-Fermi-Dirac (TFD) model was proposed for the origin of intrinsic stress in solid film

Influences of strain rate and temperature variation on material intrinsic length of plasticity strain gradient theory

Cowper-Symonds and Johnson-Cook dynamic constitutive relations are used to study the influence of both strain rate effect and temperature variation on the material intrinsic length scale in strain gradient plasticity. The material intrinsic length scale decreases with increasing strain rates, and this length scale increases with temperature.

Strain Gradient Effects on Deformation Strengthening Behavior of Particle Reinforced Metal Matrix Composites

Dislocation models with considering the mismatch of elastic modulus between matrix and reinforcing particles are used to determine the effective strain gradient \ita for particle reinforced metal matrix composites (MMCp) in the present research. Based on Taylor relation and the kinetics of dislocation multiplication, glide and annihilation, a strain gradient dependent constitutive equation is developed. By using this strain gradient-dependent constitutive equation, size-dependent deformation strengthening behavior is characterized. The results demonstrate that the smaller the particle size, the more excellent in the reinforcing effect. Some comparisons with the available experimental results demonstrate that the present approach is satisfactory.

A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses

A new compatible finite element method for strain gradient theories is presented. In the new finite element method, pure displacement derivatives are taken as the fundamental variables. The new numerical method is successfully used to analyze the simple strain gradient problems – the fundamental fracture problems. Through comparing the numerical solutions with the existed exact solutions, the effectiveness of the new finite element method is tested and confirmed. Additionally, an application of the Zienkiewicz–Taylor C1 finite element method to the strain gradient problem is discussed. By using the new finite element method, plane-strain mode I and mode II crack tip fields are calculated based on a constitutive law which is a simple generalization of the conventional J2 deformation plasticity theory to include strain gradient effects. Three new constitutive parameters enter to characterize the scale over which strain gradient effects become important. During the analysis the general compressible version of Fleck–Hutchinson strain gradient plasticity is adopted. Crack tip solutions, the traction distributions along the plane ahead of the crack tip are calculated. The solutions display the considerable elevation of traction within the zone near the crack tip.

Interface crack problems with strain gradient effects

In this paper, the strain gradient theory proposed by Chen and Wang (2001 a, 2002b) is used to analyze an interface crack tip field at micron scales. Numerical results show that at a distance much larger than the dislocation spacing the classical continuum plasticity is applicable; but the stress level with the strain gradient effect is significantly higher than that in classical plasticity immediately ahead of the crack tip. The singularity of stresses in the strain gradient theory is higher than that in HRR field and it slightly exceeds or equals to the square root singularity and has no relation with the material hardening exponents. Several kinds of interface crack fields are calculated and compared. The interface crack tip field between an elastic-plastic material and a rigid substrate is different from that between two elastic-plastic solids. This study provides explanations for the crack growth in materials by decohesion at the atomic scale.

Influences of slope gradient on soil erosion

The main factors influencing soil erosion include the net rain excess, the water depth, the velocity, the shear stress of overland flows, and the erosion-resisting capacity of soil. The laws of these factors varying with the slope gradient were investigated by using the kinematic wave theory. Furthermore, the critical slope gradient of erosion was driven. The analysis shows that the critical slope gradient of soil erosion is dependent on grain size, soil bulk density, surface roughness, runoff length, net rain excess, and the friction coefficient of soil, etc. The critical slope gradient has been estimated theoretically with its range between 41.5 degrees similar to 50 degrees.