On the linear elastic responses of the 2D bonded discrete element model

The bonded discrete element model (DEM) is a numerical tool that is becoming widely used when studying fracturing, fragmentation, and failure of solids in various disciplines. However, its abilities to solve elastic problems are usually overlooked. In this work, the main features of the 2D bonded DEM which influence Poisson's ratio and Young's modulus, and accuracy when solving elastic boundary value problems, are investigated. Outputs of numerical simulations using the 2D bonded DEM, the finite element method, a hyper elasticity analysis, and the distinct lattice spring model (DLSM) are compared in the investigation. It is shown that a shear interaction (local) factor and a geometric (global) factor are two essential elements for the 2D bonded DEM to reproduce a full range of Poisson's ratios. It is also found that the 2D bonded DEM might be unable to reproduce the correct displacements for elastic boundary value problems when the represented Poisson's ratio is close to 0.5 or the long-range interaction is considered. In addition, an analytical relationship between the shear stiffness ratio and the Poisson's ratio, derived from a hyper elasticity analysis and applicable to discontinuum-based models, provides good agreement with outputs from the 2D bonded DEM and DLSM. Finally, it is shown that the selection of elastic parameters used the 2D bonded DEM has a significant effect on fracturing and fragment patterns of solids.     

Influence of dissolution/reprecipitation reactions on metamorphic greenschist to amphibolite facies mica 40Ar/39Ar ages in the Longmen Shan (eastern Tibet)

Linking ages to metamorphic stages in rocks that have experienced low‐ to medium‐grade metamorphism can be particularly tricky due to the rarity of index minerals and the preservation of mineral or compositional relicts. The timing of metamorphism and the Mesozoic exhumation of the metasedimentary units and crystalline basement that form the internal part of the Longmen Shan (eastern Tibet, Sichuan, China), are, for these reasons, still largely unconstrained, but crucial for understanding the regional tectonic evolution of eastern Tibet. In situ core‐rim ⁴⁰Ar/³⁹Ar biotite and U–Th/Pb allanite data show that amphibolite facies conditions (~10–11 kbar, 530°C to 6–7 kbar, 580°C) were reached at 210–180 Ma and that biotite records crystallization, rather than cooling, ages. These conditions are mainly recorded in the metasedimentary cover. The ⁴⁰Ar/³⁹Ar ages obtained from matrix muscovite that partially re‐equilibrated during the post peak‐P metamorphic history comprise a mixture of ages between that of early prograde muscovite relicts and the timing of late muscovite recrystallization at c. 140–120 Ma. This event marks a previously poorly documented greenschist facies metamorphic overprint. This latest stage is also recorded in the crystalline basement, and defines the timing of the greenschist overprint (7 ± 1 kbar, 370 ± 35°C). Numerical models of Ar diffusion show that the difference between ⁴⁰Ar/³⁹Ar biotite and muscovite ages cannot be explained by a slow and protracted cooling in an open system. The model and petrological results rather suggest that biotite and muscovite experienced different Ar retention and resetting histories. The Ar record in mica of the studied low‐ to medium‐grade rocks seems to be mainly controlled by dissolution–reprecipitation processes rather than by diffusive loss, and by different microstructural positions in the sample. Together, our data show that the metasedimentary cover was thickened and cooled independently from the basement prior to c. 140 Ma (with a relatively fast cooling at 4.5 ± 0.5°C/Ma between 185 and 140 Ma). Since the Lower Cretaceous, the metasedimentary cover and the crystalline basement experienced a coherent history during which both were partially exhumed. The Mesozoic history of the Eastern border of the Tibetan plateau is therefore complex and polyphase, and the basement was actively involved at least since the Early Cretaceous, changing our perspective on the contribution of the Cenozoic geology.     

滇藏川毗连地区藏传佛教寺院分布的教派地域分异研究

藏传佛教寺院作为藏区独具特色的宗教景观而成为宗教地理学的研究热点之一,其不同教派寺院的空间分异格局是反映藏传佛教不同教派势力时空扩散过程的重要载体.着眼于滇藏川毗连地区,以四大教派寺院空间分异为视角,探讨藏传佛教寺院的地域分异特性及其历史形成机理.研究表明:滇藏川毗连地区藏传佛教四大教派寺院集中分布,但集中程度与集中地域各自不同,其寺院盲区范围及分布也不尽相同;宁玛派、萨迦派寺院与噶举派、格鲁派寺院呈金沙江东西两岸悬殊较大的分异格局;噶举派与格鲁派寺院数量上呈高度负相关.这些地域分异特性是滇藏川毗连地区的区域地理环境、不同教派主寺的分布以及藏传佛教四大教派传播扩散过程中教派间的斗争、土司的态度等多因子综合作用的结果.     

Geographic Patterns of Craft Breweries at the Intraurban Scale

This article examines the intraurban geography of craft breweries in ten cities across the United States. First, through an exhaustive literature review, we outline both supply- and demand-side factors that might cause craft breweries to cluster. Second, we empirically test whether these establishments tend to cluster within cities using spatial statistical techniques. Many communities are attempting to support the establishment of more craft breweries as a way to boost tourism and economic development. The findings from this article aid in this discussion by providing insights into how craft brewers locate and the factors that could influence their location decision behavior. Our findings suggest that craft brewers do in fact cluster. There are both supply and demand factors responsible. On the supply side, the collaborative environment within the industry and the artisan nature of the industry's products allows for benefits of clustering to outweigh the costs associated with this behavior. On the demand side, the emergence of “brewery districts” allows individual brewers to enjoy the reputation benefits associated with the district in terms of increased foot traffic from locals and visitors looking to sample a variety of beers.     

Trend analysis of major hydroclimatic variables in the Langat River basin,Malaysia

Trend analyses of monthly, seasonal and annual rainfall, air temperature, and streamflow were performed using Mann‐Kendall test within the Langat River basin to identify gradual trends and abrupt shifts for 1980 − 2010. Annual rainfall showed an increasing trend in upstream flow, a combination of decreasing and increasing trends in middle stream flow, and a decreasing trend in downstream flow. Monthly rainfall in most months displayed an insignificant increasing trend upstream. Stations with significant increasing trends showed larger trends in summer than those of other seasons. However, they were similar to the trends observed in annual rainfall. Annual minimum air temperature showed a significant decreasing trend upstream and significant increasing trends in the middle stream and downstream areas. Annual maximum air temperature portrayed increasing trends in both upstream and middle stream areas, and a decreasing trend for the downstream area. Both monthly and seasonal maximum air temperatures exhibited an increasing trend midstream, whereas they demonstrated trends of both decreasing and/or increasing temperatures at upstream and downstream areas. Annual streamflow in upper, middle and lower catchment areas exhibited significant increasing trend at the rates of 0.036, 0.023 and 0.001 × 10³ m³/y at α = 0.01, respectively. Seasonal streamflow in the upstream, midstream and downstream areas displayed an increasing trend for spring (0.55, 0.33 and 0.013 m³/y respectively) and summer (0.51, 0.37, 0.018 m³/y respectively). The greatest magnitude of increased streamflow occurred in the spring (0.54 m³/y). Significant increasing trends of monthly streamflow were noticed in January and August, but insignificant trends were found in May, September and November at all stations. Annual streamflow records at the outlet of the basin were positively correlated with the annual rainfall variable. This study concludes that the climate of the Langat River basin has been getting wetter and warmer during 1980‐2010.     

一类非线性Volterra积分不等式

本文简要讨论Gronwall不等式的研究进展,并给出关于如下的一类非线性Volterra积分不等式的一个结果：w(u(t))≤g(t))+∑_i=1ⁿ∫_αi(t0)^α_i(t)f_i(t,s)∏_j=1^mH_ij(u(s))G_ij(max_s-h≤ξ≤s u (ξ))ds.     

Maps and Spaces

Two quite different concepts of space are important in geography and environmental psychology. One is the concept of macro-environment, of space as geographical scale. The other is the concept of form-at-a-timeless-instant: of naive geometry. Confusing these two concepts leads to serious errors. This paper examines some methodological and philosophical sources of this confusion, and points to a number of research problems in geography and psychology that can benefit from an untangling of the two concepts of space. One such problem is the need to understand the development of mapping abilities in very young children. Another is the larger question of building a body of theory to explain the development of macro-environmental cognition and behavior.     

地壳运动整体观论纲

本文在全面讨论了构造体系与全球运动场、板块构造与旋转扩张、断块构造、镶嵌构造、地洼说与地球自转、构造迁移的方向性及地球水圈、气圈和生物圈的运动规律以后,提出了地球动力系统统一观,并进一步论述了包括重力、热力、离心惯性力等在内的地球动力系统中,地球自转和自转速度不均衡乃是发动地壳运动的主因,而地球整体的运动和变化,又受着天体活动的影响。
本文纲要性地指出,地壳上各种地质现象与相关的自然现象是一个有联系的整体,受控于地球整体的运动系统。      

Geomagnetic paleosecular variation at Hawaii around 3 Ma from a sequence of 107 lava flows at Kaena Point (Oahu)

We have sampled a sequence of 107 lava flows in the Waianae series on Oahu, Hawaii, in two separate stretches. The first (51 flows) at Kaena Point extends from sea level to an altitude of 190 m, and the second (56 flows) follows the Satellite Tracking Station road from 218 m to 360 m above sea level. Thermal and af demagnetization yield very similar results, and reveal only normal polarities. K/Ar dating at five different horizons combined with the paleomagnetic results indicate that the sequence was emplaced entirely in the normal polarity interval between the Upper Mammoth and the Lower Kaena polarity transitions (3.22–3.11 Ma). Some of the flows are serially correlated. Filtering does not, however, drastically affect the final results. Inclinations are shallower than those expected from a centered dipole field. Although large (13°), the inclination anomaly is consistent with results from other sites at the same latitude. The scatter of the VGPs about the geographic pole is consistent with available data from other regions at similar latitudes. The scatter of the directions is also consistent with the predictions of recent statistical models of paleosecular variation. Therefore, these results do not support the hypothesis of a Pacific dipole window.     

海平面及海平面变化综述

分析总结了海平面及海平面变化的有关问题,如相关概念及其关系的理解,海平面变化旋回等时性及可对比性,海平面升降曲线的表示方法、内容及绘制技术与原理,其升降幅度的定量化计算和模拟,海平面变化成因的旋回级别、动态分异及成因标识,海平面变化对沉积盆地的影响等等。提出部分建议,包括理清海平面与海平面变化,海平面升降与振荡、波动,全球与相对、高频、复合海平面,ＴＲ旋回与海平面变化等概念;限定其概念的外延、内涵及其之间的关系,以及三、四级海平面变化旋回用于同一大陆或泛大陆的对比性;分清各种表示方法、技术的使用范围,相对水深曲线转换为海平面升降曲线过程中成岩作用、构造沉降、沉积（生产）速率的影响校正及定量模拟;在海平面变化旋回级次格架下结合两种思路进行成因分析;推荐相对海平面升降成因分析按曲线对比法→构造沉降→回剥法思路进行;建议加强海平面升降变化对盆地充填响应的研究;重视对沉积矿床的控制和大陆边缘地壳变形的反弹作用过程及定量模拟。