General Relationship Between Contact Stiffness, Contact Depth, and Mechanical Properties for Indentation in Linear Viscoelastic Solids Using Axisymmetric Indenters of Arbitrary Profiles

We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. Although the same expression is well known for indentation in elastic and in elastic-plastic solids, we show that it is also true for indentation in linear viscoelastic solids, provided that the unloading rate is sufficiently fast. Furthermore, the same expression holds true for both fast loading and unloading. These results should provide a sound basis for using the relationship for determining properties of viscoelastic solids using indentation techniques.

坡面细沟侵蚀的冲刷试验研究

细沟侵蚀是土壤侵蚀的重要方式之一，但定量研究困难很大。本文设计并完成了一系列小规模细沟侵蚀冲刷试验，研究细沟侵蚀过程中的动力学规律。试验结果表明了一些细沟侵蚀的趋势性规律，也反映出其中存在较强的随机性。通过分析试验数据，得到了细沟宽度及过水断面湿周与流量和坡度的经验关系，并发现湿周与它们的关系更为密切。

Effects of 'sinking in' and 'piling up' on estimating the contact area under load in indentation

The phenomena of the 'piling up' and 'sinking-in' of surface profiles in conical indentation in elastic-plastic solids with work hardening are studied using dimensional and finite-element analysis. The degree of sinking in and piling up is shown to depend on the ratio of the initial yield strength Y to Young's modulus E and on the work-hardening exponent n. The widely used procedure proposed by Oliver and Pharr for estimating contact depth is then evaluated systematically. By comparing the contact depth obtained directly from finite-element calculations with that obtained from the initial unloading slope using the Oliver-Pharr procedure, the applicability of the procedure is discussed.

Scaling relationships in conical indentation of elastic perfectly plastic solids

Using dimensional analysis and finite element calculations we derive several scaling relationships for conical indentation into elastic-perfectly plastic solids. These scaling relationships provide new insights into the shape of indentation curves and form the basis for understanding indentation measurements, including nano- and micro-indentation techniques. They are also helpful as a guide to numerical and finite element calculations of conical indentation problems. Finally, the scaling relationships are used to reveal the general relationships between hardness, contact area, initial unloading slope, and mechanical properties of solids.

边坡稳定性分析极限平衡法的简化条件

边坡稳定性分析极限平衡法在求解安全系数时,需要对条块间内力引入假定条件或某些平衡条件在求解时得不到满足.分析这些不同的假设条件对于计算结果的影响,建立一个满足极限平衡原理和合理性条件的数值优化模型.引入载荷系数,利用载荷系数与安全系数之间的单调关系,将模型的求解转化为求解一系列线性规划问题,算法中不存在数值收敛问题,且可以求出安全系数的全局最优解.通过对模型各个约束条件的变化来模拟引入的假定条件,以此探讨各种假定条件或静力平衡条件的缺失对计算结果影响及某些常用方法引入的假定条件可能带来的误差.

一类含裂隙岩质边坡的滑动弱化逐步破坏机理

含裂隙的岩土材料在剪切作用下,随着剪应变的增加,裂纹端部一定区域内的强度会表现出滑动弱化的现象.岩土材料这种性质的变化不同于粘性土结构性破坏,也不同于剪胀.在一定的载荷作用下,坡体内裂隙端部的滑动弱化使坡体内的应力重新分配,从而使得应力集中加剧,裂隙尖端进一步扩展,造成岩体结构性的破坏,乃至整个滑面的贯通直至发生滑坡.因此,滑动弱化是一类含裂隙岩质边坡滑坡的机理.

三维简化Janbu法分析边坡稳定性的扩展

对三维简化的Janbu法进行了扩展,使得离散后在同一行上的各条块在水平横向的安全系数相等以及在同一列上的条块在水平纵向的安全系数相等,得到不同行(列)的安全系数,最后通过各条块底滑面的几何特性与受力分析给出其独立的安全系数以及各条块潜在的滑动方向.该方法拓展了传统极限平衡方法只给出坡体总体安全系数的思路,可对坡体局部稳定性和潜在滑动方向进行判定.该方法可适用于任意形状的滑面,还可分析包括考虑孔隙水压力、地质体分层、上覆载荷以及地震力等其他形式的外载.

A Dynamic Comprehensive Method for Landslide Control

A slope failure is developed due to progressive external loads and deteriorations of slope geomaterials, thus forming a progressive and dynamic development and occurrence of landslides. Site geological properties and other active factors such as hydrodynamic load and human activities are complex and usually unknown, thus this dynamic development and occurrence of landslides can only be understood through the progressive accumulation of knowledge on the landslides. For such a progressive process, this paper proposes a dynamic comprehensive control method for landslide control. This control method takes full advantage of updated monitoring data and site investigations of landslides, and emphasizes the implementation of possible measures for landslide control at reasonable stages and in different groups. These measures are to prevent the occurrence of a landslide disaster. As a case study, a landslide project at the Panluo open-pit iron mine is analyzed to illustrate this dynamic comprehensive control method.

Relationship Between Contact Stiffness, Contact Depth, and Mechanical Properties for Indentation in Linear Viscoelastic Solids Using Axisymmetric Indenters

We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. Although the same expres

地表条件对坡面产流的影响

本文将复杂地表条件对坡面流运动的影响概化为阻力的变化,运用运动波理论和修正的Green-Ampt入渗模型,建立了能够反映地表条件影响的坡面降雨入渗产流模型,数值结果与实验符合较好,运用该模型分析了植被、地形、坡长、坡度等地表条件对坡面产流过程的影响.

Relationships between hardness, elastic modulus, and the work of indentation

The work done during indentation is examined using dimensional analysis and finite element calculations for conical indentation in elastic-plastic solids with work hardening. An approximate relationship between the ratio of hardness to elastic modulus and the ratio of irreversible work to total work in indentation is found. Consequently, the ratio of hardness to elastic modulus may be obtained directly from measuring the work of indentation. Together with a well-known relationship between elastic modulus, initial unloading slope, and contact area, a new method is then suggested for estimating the hardness and modulus of solids using instrumented indentation with conical or pyramidal indenters.

Scaling approach to conical indentation in elastic-plastic solids with work hardening

We derive, using dimensional analysis and finite element calculations, several scaling relationships for conical indentation in elastic-plastic solids with work hardening. Using these scaling relationships, we examine the relationships between hardness, contact area, initial unloading slope, and mechanical properties of solids. The scaling relationships also provide new insights into the shape of indentation curves and form the basis for understanding indentation measurements, including nano- and micro-indentation techniques. They may also be helpful as a guide to numerical and finite element calculations of indentation problems.

Plot Erosion Model Using Gray Relational Analysis Method

The main factors affecting interrill erosion-including runoff discharge, rainfall intensity, mean flow velocity, and slope gradient-were analyzed by using a gray relational analysis. An equation for interrill erosion was derived by coupling this analysis with dimensional and regression analyses. The values of erosion rates predicted by this equation were in good agreement with experimental observations.

水位变化引起分层边坡滑坡的实验研究

通过对分层的边坡在水位变化时滑坡的模拟实验,考察了分层坡体的滑坡模式、坡体变形、破坏和渗流引起的滑坡,重点考察了水位涨落速度对坡体稳定的影响,以及坡面从产生张拉裂缝直到形成滑面的整个过程,并对这类滑坡中的现象给出了定性解释.最后用有限元对实验坡体进行了应力和位移的静力场分析,计算结果与实验结果基本一致.

Modeling Nonlinear Peeling of Ductile Thin Films-Critical Assessment of Analytical Bending Models Using FE Simulations

Three analytical double-parameter criteria based on a bending model and a two-dimensional finite element analysis model are presented for the modeling of ductile thin film undergoing a nonlinear peeling process. The bending model is based on different governing parameters: (1) the interfacial fracture toughness and the separation strength, (2) the interfacial fracture toughness and the crack tip slope angle, and (3) the interfacial fracture toughness and the critical Mises effective strain of the delaminated thin film at the crack tip. Thin film nonlinear peeling under steady-state condition is solved with the different governing parameters. In addition, the peeling test problem is simulated by using the elastic-plastic finite element analysis model. A critical assessment of the three analytical bending models is made by comparison of the bending model solutions with the finite element analysis model solutions. Furthermore, through analyses and comparisons for solutions based on both the bending model and the finite element analysis model, some connections between the bending model and the finite element analysis model are developed. Moreover, in the present research, the effect of different selections for cohesive zone shape on the ductile film peeling solutions is discussed.