CN1609351A - Establishment method of generalized Bingheim soft soil rheological deformation simulation body - Google Patents

Establishment method of generalized Bingheim soft soil rheological deformation simulation body Download PDF

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CN1609351A
CN1609351A CN 200410065582 CN200410065582A CN1609351A CN 1609351 A CN1609351 A CN 1609351A CN 200410065582 CN200410065582 CN 200410065582 CN 200410065582 A CN200410065582 A CN 200410065582A CN 1609351 A CN1609351 A CN 1609351A
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缪林昌
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Southeast University
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Abstract

The generalized Bingham soft earth rheologic deformation model is for building structure deformation controlling design and relevant research. The model establishing process includes the following steps: a. inputting embankment design parameters; b. inputting composite foundation processing parameters; c. automatic grid division; e. inputting model parameters; f. embankment load increment; g. reclamation time increment; h. coupling plastomer with generalized Bingham body based on Bitot consolidation formula; i. determining unit stiffness matrix and establishing code and characteristic of each grid unit body; j. constituting overall rigidity matrix; k. finite element solving Bitot consolidation formula to find the solutions in the points within the researched space; l. judging whether to meet the boundary condition, and if no, returning to i.; m. calculating the node force, displacement and hole pressure and returning results to f. and g.; and n. outputting results to end.

Description

广义宾海姆软土流变变形模拟体的建立方法Establishment method of generalized Bingheim soft soil rheological deformation simulation body

                               技术领域Technical field

本发明是一种用于建筑结构控制变形设计和相关研究的方法。尤其是一种直接应用于土木工程领域的广义宾海姆软土流变变形模拟体的建立方法。The invention is a method for controlling deformation design of building structure and related research. In particular, a method for establishing a generalized Bingheim soft soil rheological deformation simulation body directly applied in the field of civil engineering.

                               背景技术 Background technique

近几年我国一直在开展大规模的基础建设,如高速公路、铁路等重点工程的建设,在高速公路、铁路建设过程中,不可避免地穿越软土地区,在软土地区修建高速公路、铁路经常会出现很多工程问题,路基沉降变形过大,影响正常通行:桥头、箱涵连接部位行车时出现跳车,涵洞由于沉降,影响水系畅流,存在防洪抗洪隐患。这主要由于软土的变形特性认识不足,或者不能用一个准确的变形模型描述软土的流变变形特性。虽然这方面的研究已取得不少成果,认识软土的流变特性,如马克斯威尔模型只能描述土的应力松弛现象,开尔文模型只能描述土的弹性后效应性质,修正的考马拉-黄模型和宾海姆只能描述土的极限强度,这几种现象都不能准确描述路基变形破坏的过程和现象。因为路基的变形破坏开始是由渐变到突变的过程,开始渐变变形可近似为弹塑性,最后突变是极限破坏现象。In recent years, my country has been carrying out large-scale infrastructure construction, such as the construction of key projects such as highways and railways. During the construction of highways and railways, it is inevitable to pass through soft soil areas, and build highways and railways in soft soil areas. There are often many engineering problems, such as excessive subsidence and deformation of the subgrade, which affect normal traffic: vehicle jumping occurs at the bridgehead and box culvert connection parts, and the settlement of culverts affects the smooth flow of the water system, and there are hidden dangers of flood control. This is mainly due to insufficient understanding of the deformation characteristics of soft soil, or the inability to use an accurate deformation model to describe the rheological deformation characteristics of soft soil. Although many achievements have been made in this area, the understanding of the rheological properties of soft soils, such as the Maxwell model can only describe the stress relaxation phenomenon of soils, and the Kelvin model can only describe the elastic after-effect properties of soils. The -Huang model and Bingheim can only describe the ultimate strength of the soil, and these phenomena cannot accurately describe the process and phenomenon of subgrade deformation and failure. Because the deformation and failure of the subgrade is a process from gradual change to sudden change at the beginning, the gradual deformation at the beginning can be approximated as elastic-plastic, and the final sudden change is the ultimate failure phenomenon.

                               发明内容Contents of Invention

技术问题:本发明目的是提出一种广义宾海姆软土流变变形模拟体的建立方法,准确描述软土的流变变形特性,以便实现高速公路、铁路的控制变形设计。Technical problem: The purpose of this invention is to propose a method for establishing a generalized Binheim soft soil rheological deformation simulation body, which can accurately describe the rheological deformation characteristics of soft soil, so as to realize the controlled deformation design of highways and railways.

技术方案:我国有不少已建设的高速公路和铁路在运营过程中(如拢海铁路连云港段年年修,路基累计沉降最大接近2米),有的在施工建设过程中就出现变形破坏(如连徐高速公路二期连云港段),影响工程的正常运转,造成大量的经济损失。为了准确描述路基的沉降变形的特征现象,为工程设计提供可靠理论依据,发明人进行现场调查、室内试验和计算总结分析工程特征现象,路基的沉降变形开始是由渐变到突变的过程,进而提出一种广义宾海姆软土流变模型,能准确地描述软土流变变形的特征现象。Technical solution: Many expressways and railways in my country are in operation (such as the Lianyungang section of the Longhai Railway being repaired every year, and the cumulative subsidence of the roadbed is close to 2 meters), and some of them are deformed and damaged during the construction process ( Such as the Lianyungang section of the second phase of Lianxu Expressway), which affects the normal operation of the project and causes a lot of economic losses. In order to accurately describe the characteristic phenomenon of subgrade settlement and deformation, and provide a reliable theoretical basis for engineering design, the inventor conducted on-site investigations, indoor tests and calculations to summarize and analyze engineering characteristic phenomena. A generalized Bingheim rheological model of soft soil can accurately describe the characteristic phenomena of rheological deformation of soft soil.

该模型由两部分组合构成,一部分是弹塑性体,描述路堤渐变变形的弹塑性变形;另一部分是广义宾海姆体,描述路堤的流变变形破坏特征。通过比奥固结方程将这两个单元件进行线性组合,并由试验确定相关单元体的参数,建立相关的数值算法,准确描述路堤沉降变形的特征。The model is composed of two parts, one part is elastoplastic body, which describes the elastoplastic deformation of embankment with gradual deformation; the other part is generalized Bingheim body, which describes the rheological deformation and failure characteristics of embankment. The two unit elements are linearly combined through the Biot consolidation equation, and the parameters of the relevant unit bodies are determined by experiments, and the relevant numerical algorithms are established to accurately describe the characteristics of the embankment settlement deformation.

该模型的模拟计算,首先对研究的地基与路堤及有关控制参数,包括路堤的高度、路堤上下宽度、平均容重参数和地基的土层分层厚度参数,对研究对象进行网格剖分,再通过常规三轴试验和K0固结法三轴流变试验获取模型参数,这些参数主要描述土体的弹塑性变形和流变变形特征的试验参数;模拟路堤填筑过程设定荷载增量和时间增量,比奥固结方程将弹塑性体与广义宾海姆模型进行耦合,确定单元体的刚度矩阵和总体刚度矩阵,利用有限元进行数值求解,数值计算得到各节点的应力、位移和孔隙水压力值,最终求出路基的沉降变形。For the simulation calculation of the model, firstly, the research object is meshed for the foundation and embankment under study and related control parameters, including the height of the embankment, the width of the embankment up and down, the average bulk density parameter and the layered thickness parameter of the soil layer of the foundation, and then The model parameters are obtained through the conventional triaxial test and the K 0 consolidation triaxial rheological test. These parameters mainly describe the test parameters of the elastic-plastic deformation and rheological deformation characteristics of the soil; set the load increment and Time increment, the Biot consolidation equation couples the elastoplastic body with the generalized Bingheim model, determines the stiffness matrix of the unit body and the overall stiffness matrix, and uses finite elements to solve numerically, and numerically calculates the stress, displacement and The pore water pressure value is used to finally calculate the settlement deformation of the subgrade.

该模型的建立方法为:The method to build the model is:

a、输入路堤设计参数,即堤顶、底宽,堤高、平均容重;a. Input the embankment design parameters, namely embankment crest, bottom width, embankment height and average bulk density;

b、输入复合地基处理参数,即处理深度、置换率、土层参数;b. Input composite foundation treatment parameters, namely treatment depth, replacement rate and soil layer parameters;

c、网格自动剖分;c. Automatic grid division;

e、输入模型参数,即输入常规三轴试验的弹塑性单元参数,K0固结法三轴流变试验的流变单元参数;K0固结法是设定的一种土工试验方法,要求试验的土样所承受的侧向压力与竖向压力的比值等于常数K0进行变形测试:e. Input model parameters, that is, input the elastic-plastic unit parameters of the conventional triaxial test, and the rheological unit parameters of the triaxial rheological test of the K 0 consolidation method; the K 0 consolidation method is a set geotechnical test method, which requires The ratio of the lateral pressure to the vertical pressure that the tested soil sample bears is equal to the constant K0 for deformation testing:

f、路堤荷载增量,即某一层路堤填筑高度,等价为作用力即荷载的大小增量;f. Embankment load increment, that is, the filling height of a certain layer of embankment, is equivalent to the action force, that is, the magnitude increment of the load;

g、填筑时间增量,即为某一层路堤填筑时间,等价为连续填筑时间的间隔增量;g. Filling time increment, that is, the filling time of a certain layer of embankment, which is equivalent to the interval increment of continuous filling time;

h、建立比奥固结方程表述土体的变形,将塑性体与广义宾海姆体进行耦合,即将弹塑性体与宾海姆极限破坏体通过比奥固结方程建立联系:h. Establish the Biot consolidation equation to describe the deformation of the soil, and couple the plastic body with the generalized Binheim body, that is, establish the connection between the elastoplastic body and the Binheim limit failure body through the Biot consolidation equation:

i、确定单元劲度矩阵,对每个网格单元体建立编码,如受力大小,产生的位移变形:i. Determine the unit stiffness matrix, and establish a code for each grid unit body, such as the magnitude of the force and the displacement deformation generated:

j、构成总体刚度矩阵,即将所有网格单元体依据其编码和排序,描述整个研究物体的受力和位移变形:j. Constitute the overall stiffness matrix, that is, describe the force and displacement deformation of the entire research object according to its encoding and sorting for all grid units:

k、有限元求解比奥固结方程在研究空间各点上的解(空间各点位置由步骤c网格自动剖分确定),这包括网格单元和网格节点上受力大小和变形大小:k, finite element solution to the solution of Biot's consolidation equation at each point in the research space (the position of each point in the space is determined by the automatic grid subdivision of step c), which includes the force and deformation on the grid unit and grid nodes :

l、边界条件满足否,如果不满足边界条件,则返回步骤I,确定单元劲度矩阵;如果满足边界条件,则执行以下的步骤m,l. Whether the boundary conditions are satisfied, if not, return to step I to determine the element stiffness matrix; if the boundary conditions are satisfied, perform the following step m,

m、计算结点力、位移、孔压,同时将计算结果返回至步骤f和步骤g进行循环;m. Calculate the nodal force, displacement, and pore pressure, and return the calculation results to step f and step g for circulation;

n、输出计算结果,结束。n. Output the calculation result and end.

有益效果:基于这一广义宾海姆软土流变模型,准确描述软土路基变形特征,为确定合理软土地基加固处理的方法提供理论依据,以实现控制变形设计,保证高速公路和铁路安全运营,同时减少因沉降变形失控造成的经济损失,节约大量维修费用,具有明显的经济效益。Beneficial effects: Based on this generalized Bingheim rheological model of soft soil, the deformation characteristics of soft soil roadbed can be accurately described, and a theoretical basis can be provided for determining a reasonable soft soil foundation reinforcement treatment method, so as to realize control deformation design and ensure the safety of highways and railways At the same time, it reduces the economic loss caused by the out-of-control settlement and deformation, and saves a lot of maintenance costs, which has obvious economic benefits.

                              附图说明Description of drawings

图1是广义宾海姆软土流变变形模拟方法示意图。Figure 1 is a schematic diagram of the generalized Bingheim soft soil rheological deformation simulation method.

图2是计算实例示意图。Figure 2 is a schematic diagram of a calculation example.

图3是广义宾海姆软土流变变形模拟体的建立方法示意图。Fig. 3 is a schematic diagram of the establishment method of the generalized Bingheim soft soil rheological deformation simulation body.

                              具体实施方式 Detailed ways

本发明的广义宾海姆软土流变变形模拟的建立方法以连徐高速公路连云港段为四车道的高速公路K20+395处为例说明,路堤高5m,路堤顶宽28m,底宽43m,路堤平均容重一般取20kN/m3;软土地基较为单一,软土厚度12m,软土层下面土层也比较单一均匀,搅拌桩的处理长度为12.5m,桩间距为1.2m,置换率为0.157。The establishment method of generalized Binheim soft soil rheological deformation simulation of the present invention is an example illustration at the expressway K20+395 place of four lanes in the Lianyungang section of Lianxu Expressway, embankment height 5m, embankment top width 28m, bottom width 43m, The average bulk density of the embankment is generally 20kN/m 3 ; the soft soil foundation is relatively simple, the thickness of the soft soil is 12m, and the soil layer under the soft soil layer is also relatively single and uniform. 0.157.

a、输入路堤设计参数,即堤顶、底宽,堤高、平均容重;具体数值分别为28、43、5和20;a. Input the design parameters of the embankment, namely, embankment crest, bottom width, embankment height, and average bulk density; the specific values are 28, 43, 5, and 20 respectively;

b、输入复合地基处理参数,即处理深度、置换率、土层参数;具体数值分别为12.5、0.157、4;b. Input the composite foundation treatment parameters, namely treatment depth, replacement rate and soil layer parameters; the specific values are 12.5, 0.157 and 4 respectively;

c、网格自动剖分;c. Automatic grid division;

e、输入模型参数,即输入常规三轴试验的弹塑性单元参数,K0固结法三轴流变试验的流变单元参数;K0固结法是设定的一种土工试验方法,要求试验的土样所承受的侧向压力与竖向压力的比值等于常数K0进行变形测试;取K0=0.65(试验得到的),流变的粘滞参数η=3.5*10-5(min-1),其余一些参数为试验统计参数;e. Input model parameters, that is, input the elastic-plastic unit parameters of the conventional triaxial test, and the rheological unit parameters of the triaxial rheological test of the K 0 consolidation method; the K 0 consolidation method is a set geotechnical test method, which requires The ratio of the lateral pressure to the vertical pressure that the tested soil sample bears is equal to the constant K 0 for deformation testing; take K 0 =0.65 (obtained by the test), and the rheological viscosity parameter η=3.5*10 -5 (min -1 ), and some other parameters are experimental statistical parameters;

f、路堤荷载增量,即某一层路堤填筑高度,等价为作用力即荷载的大小增量;路堤高5m,近似分成四次填筑,荷载增量为25kPa;f. Embankment load increment, that is, the filling height of a certain layer of embankment, is equivalent to the action force, that is, the increment of load; embankment height is 5m, which is approximately divided into four times of filling, and the load increment is 25kPa;

g、填筑时间增量,即为某一层路堤填筑时间,等价为连续填筑时间的间隔增量;高速公路的修建时间一般为3~4年,计算的时间间隔通常可取20~40天,算例取时间间隔为20天;g. Filling time increment, that is, the filling time of a certain layer of embankment, which is equivalent to the interval increment of continuous filling time; the construction time of expressway is generally 3 to 4 years, and the calculation time interval can usually be taken as 20 ~ 40 days, the calculation time interval is 20 days;

h、比奥固结方程将塑性体与广义宾海姆体进行耦合,即将弹塑性体与宾海姆极限破坏体通过比奥固结方程建立联系;h. The Biot consolidation equation couples the plastic body and the generalized Bingheim body, that is, the elastic-plastic body and the Bingheim limit failure body are connected through the Biot consolidation equation;

i、确定单元劲度矩阵,对每个网格单元体建立编码和特征,如受力大小,产生的位移变形;i. Determine the unit stiffness matrix, and establish codes and characteristics for each grid unit body, such as the magnitude of the force and the displacement deformation generated;

j、构成总体刚度矩阵,即将所有网格单元体依据其编码和特征排序,描述整个研究物体的受力和位移变形;j. Constitute the overall stiffness matrix, that is, sort all grid units according to their codes and characteristics, and describe the force and displacement deformation of the entire research object;

k、有限元求解比奥固结方程在各个网格单元和网格节点上的解,这包括网格单元和网格节点上受力大小和变形大小;k. Solve the solution of Biot's consolidation equation on each grid unit and grid node by finite element method, including the force and deformation on the grid unit and grid node;

l、边界条件满足否,如果不满足边界条件,则返回步骤I,确定单元劲度矩阵;如果满足边界条件,则执行以下的步骤m,l. Whether the boundary conditions are satisfied, if not, return to step I to determine the element stiffness matrix; if the boundary conditions are satisfied, perform the following step m,

m、计算结点力、位移、孔压,同时将计算结果返回至步骤f和步骤g进行循环;m. Calculate the nodal force, displacement, and pore pressure, and return the calculation results to step f and step g for circulation;

n、输出计算结果,结束。计算结果见附图2。n. Output the calculation result and end. The calculation results are shown in Figure 2.

针对江苏连云港海相软土的固结变形特性、流变特性,建立一种广义宾海姆软土流变体,并将土体弹塑性变形体与广义宾海姆极限破坏体进行有机结合,编制相关的计算软件进行沉降计算,考虑流变的弹粘塑性模型计算沉降量与实测的沉降量比较接近(误差小于10%),较弹塑性变形体计算的沉降量精度提高了40%以上,成功地应用到连徐高速公路连云港段的二期工程的设计中,同时又将这一研究成果推广应用到汾灌高速公路、连盐高速公路的设计中。Aiming at the consolidation deformation and rheological characteristics of marine soft soil in Lianyungang, Jiangsu, a generalized Bingheim soft soil rheological body is established, and the elastic-plastic deformation body of the soil is organically combined with the generalized Bingheim limit failure body. Compile relevant calculation software for settlement calculation, the settlement calculated by the elasto-viscoplastic model considering rheology is relatively close to the measured settlement (the error is less than 10%), and the settlement accuracy calculated by the elastoplastic deformation body is increased by more than 40%. It has been successfully applied to the design of the second phase of the Lianyungang section of the Lianxu Expressway, and at the same time, this research achievement has been extended and applied to the design of the Fenguan Expressway and the Lianyan Expressway.

Claims (1)

1, a kind of method for building up of broad sense Bingham soft soil rheological deformation simulative is characterized in that method for building up is as follows:
A, input embankment design parameters, i.e. levee crown, bottom width, dike height, average unit weight;
B, input composite foundation processing parameter are promptly handled the degree of depth, replacement ratio, soil layer parameter;
C, grid automatic division;
E, input model parameter are promptly imported the elastoplasticity cell parameters of ordinary triaxial test, K 0The rheological unit parameter of concretion method triaxial rheology test;
F, embankment load increment, i.e. certain one deck embankment filled height, being equivalent to active force is the size increment of load;
G, fill incremental time, be certain one deck embankment and fill the time, be equivalent to the space increment of the time of filling continuously;
H, Biot consolidation equation are coupled plastic body and generalized Bingham body, are about to the elasticoplastic body and Bingham limit destruction body and get in touch by Biot consolidation equation foundation;
I, determining unit stability matrix are set up coding and feature to each grid cell body, as stressed size, and the displacement deformation of generation;
J, formation global stiffness matrix are about to all grid cell bodies according to its coding and ordering, describe the stressed and displacement deformation of whole research object;
K, finite element solving Biot consolidation equation separating on the each point of research space, this comprises stressed size and distortion size on grid cell and the grid node;
L, fringe conditions satisfy not, if do not satisfy fringe conditions, then return step I, the determining unit stability matrix; If satisfy fringe conditions, then carry out following step m,
Press in m, calculating joint forces, displacement, hole, simultaneously result of calculation is back to step f and step g and circulates:
N, output result of calculation finish.
CN 200410065582 2004-11-24 2004-11-24 Set-up method for generalized Bingham soft soil rheological deformation analogue body Expired - Fee Related CN1295400C (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
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CN101798821A (en) * 2010-03-05 2010-08-11 河海大学 Local scouring forecast method of coastwise wind-electricity tower footing of muddy coast
CN102184298A (en) * 2011-05-18 2011-09-14 山东大学 Method for storing and generating stiffness matrix for finite-element analysis in metal bulk plastic forming

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101798821A (en) * 2010-03-05 2010-08-11 河海大学 Local scouring forecast method of coastwise wind-electricity tower footing of muddy coast
CN102184298A (en) * 2011-05-18 2011-09-14 山东大学 Method for storing and generating stiffness matrix for finite-element analysis in metal bulk plastic forming
CN102184298B (en) * 2011-05-18 2013-06-19 山东大学 Method for storing and generating stiffness matrix for finite-element analysis in metal bulk plastic forming

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