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1.
岩石蠕变是一个显著的非线性问题,而经典的Burgers 模型是一种线性蠕变模型,必然不能全面地描述岩石蠕变的全过程.当岩石处于高应力水平下的加速蠕变阶段,岩石内部损伤会不断产生和累积,蠕变呈现出明显的非线性特征.为了更好地描述考虑损伤的岩石蠕变全过程,本文假定加速蠕变阶段的损伤演化方程,将损伤引入到Burgers 模型中,提出了一种非线性蠕变损伤模型.然后以乔后盐矿试件蠕变实测数据为分析案例,验证模型在应用于实际工程时的准确性和适用性.最后根据Origin 软件数值拟合的结果,表明本文所提出的非线性蠕变损伤模型能很好地描述岩石蠕变全过程,模型参数取值也在合理范围之内,模型拟合曲线与实验所得数据具有较好的一致性.  相似文献   

2.
一种高聚物银纹损伤演化的实验研究   总被引:4,自引:0,他引:4  
采用光学显微技术对高聚物蠕变条件下的银纹损伤引发和演化进行了实验观测.通过对银纹面密度的测量,定义一种损伤变量,得到了聚甲基丙烯酸甲酯不同蠕变时间和不同应力水平下的银纹损伤值,并给出了一种损伤演化模型.  相似文献   

3.
岩石材料的一种蠕变损伤方程   总被引:9,自引:0,他引:9  
通过大量的岩石蠕变试验研究,总结出了以能描述损伤历史的蠕变模量为参数的岩石蠕变损伤方程,由该方程能方便地定出任意蠕变时刻的损伤状态和进行蠕变损伤的测定。  相似文献   

4.
田若洲  郭素娟  游旭 《力学季刊》2022,43(2):249-259
针对几种经典和新发展的蠕变-疲劳寿命模型开展综述介绍,并建立预测航空涡轮盘在循环热-机蠕变-疲劳载荷谱下蠕变-疲劳行为的数值流程,对某型航空涡轮盘的蠕变-疲劳损伤和寿命进行预测和对比.结果表明:等效应变法与临界平面法得出的疲劳损伤差距较小,等效应变法由于数值计算简单,工程适用性更强.寿命-时间分数(TF)法由于无法考虑应力松弛效应,给出了最为保守的蠕变损伤预测,其对盘体应力三轴度引起的损伤不敏感;延性耗竭法(DE)法仅以蠕变应变率作为损伤因素,虽考虑多轴蠕变因子的影响,但是给出的蠕变损伤过小;修正应变能密度耗竭(MSEDE)法综合考虑蠕变应变与应力松弛,并且考虑多轴蠕变因子与弹性跟随效应的影响,结合疲劳损伤模型可以给出合理的蠕变、疲劳损伤比例,其预测结果更加合理.  相似文献   

5.
高温环境下纤维复合材料蠕变损伤的细观机理研究   总被引:1,自引:0,他引:1  
姜云鹏  岳珠峰 《力学季刊》2004,25(4):523-527
首先利用复合材料纤维断裂单胞模型,编制蠕变损伤子程序,对单胞模型进行蠕变损伤分析。分析了纤维/基体弹性模量比对蠕变变形、蠕变损伤以及应力场的影响。从计算结果发现,蠕变损伤首先在纤维断裂尖端起始,然后沿着一定的角度向基体外围延伸,直至完全损伤,而且纤维/基体模量比对高温环境下的复合材料蠕变损伤产生很大的影响;纤维与基体的模量相差越大,复合材料越容易变形,抵抗蠕变变形的能力就越小,蠕变损伤越严重。经过对不同韧性的基体材料进行研究,发现基体韧性低的复合材料蠕变损伤明显高于高韧性基体复合材料,表明低韧性基体复合材料抵抗蠕变破坏的能力较低。  相似文献   

6.
岩石蠕变特性试验研究   总被引:2,自引:0,他引:2  
胡波  王宗林  梁冰  李刚  王俊光  陈宫 《实验力学》2015,30(4):438-446
针对大安山煤矿+550水平西二石门围岩蠕变变形严重的问题,采用室内蠕变试验与理论分析相结合的方法研究岩石蠕变特性。选取泥质粉砂岩作为软岩试样,通过自制三轴蠕变仪对所取岩样进行恒围压分级增轴压的三轴压缩蠕变试验,结果表明:随应力水平的提高,起始蠕变速率增大,进入稳态蠕变阶段用时延长,稳态蠕变速率从0h-1增大到3.12e-4·h-1,瞬时应变以线性关系增加,围压9MPa条件下的起始蠕变应力阈值为6MPa,当应力水平超过岩石长期强度时出现加速蠕变。基于蠕变试验规律,考虑起始蠕变应力阈值,将一种可用阶跃函数表示的开关元件与广义K体并联,并引入损伤元件对CVISC蠕变模型进行改进。采用1st-Opt中的Levenberg-Marquardt+通用全局优化法计算蠕变参数并进行反演。反演结果表明理论曲线与试验曲线的吻合效果较好,证明了所建模型的合理性。上述研究成果可为岩石工程的长期稳定性分析提供试验和理论依据。  相似文献   

7.
泥岩三轴蠕变实验研究   总被引:1,自引:0,他引:1  
张向东  傅强 《应用力学学报》2012,29(2):154-158,238
采用MTS伺服刚性压力实验机对高家梁煤矿泥岩进行了三轴蠕变实验研究,获得了泥岩在不同应力条件下的蠕变变形规律。实验表明围压对泥岩微观缺陷的发展有一定的限制作用。随着围压的增加,泥岩的三轴抗压强度和弹性模量均有所增加。在围压一定时:衰减蠕变量随轴压的增大而增大;衰减蠕变率随偏应力的增加而增大;稳态蠕变率随偏应力的增大而增大。在偏应力一定时,稳态蠕变率随围压的增大而减小。当围压大于4MPa后,围压的限制作用将明显减小。随着围压继续增大,稳态蠕变率变化并不明显。根据获得的实验数据,用回归法求出了H-K模型蠕变方程的参数。结果表明H-K模型能较好地模拟实验结果。在实际工程中可通过支护增加围压以提高围岩屈服强度,也可根据实际工程中泥岩蠕变的变化趋势确定合理的二次支护时间,避免流变破坏的发生。  相似文献   

8.
基于Kachanov蠕变损伤理论和Von Karman非线性板理论,建立了在横向和面内载荷共同作用下蠕变损伤四边简支矩形板的非线性弯曲平衡方程,采用有限差分法进行数值迭代求解,分析了几何非线性、面内荷载等因素对板非线性蠕变损伤特性的影响.  相似文献   

9.
含裂纹体蠕变断裂理论及其应用研究   总被引:4,自引:2,他引:2  
杨挺青 《力学进展》1999,29(2):178-186
评介了蠕变断裂力学研究概况.着重论述含裂纹材料与结构的蠕变断裂、蠕变损伤、蠕变疲劳裂纹扩展和寿命预估等方面研究的近期进展.从中介绍蠕变断裂力学的研究途径、方法及其广阔的工程应用前景  相似文献   

10.
王俊光  梁冰  田蜜 《实验力学》2014,29(1):112-118
为研究水对油页岩蠕变规律的影响,以不同含水状态下油页岩三轴压缩蠕变实验数据为依据,对水作用下油页岩蠕变3个阶段各自的力学特征进行了分析。作者认为,在衰减蠕变和稳态蠕变阶段岩石内部损伤程度较小;当岩石处于加速蠕变阶段时,岩石内部不断产生损伤,呈现出明显非线性特征,同时水作用进一步加剧了岩石蠕变损伤程度。本文将非线性损伤演化方程引入到改进的Burgers模型中,将含水率变化引起的蠕变参数的变化引入到方程中,建立了不同含水率下油页岩非线性损伤蠕变模型。采用非线性最小二乘法反演蠕变参数,将蠕变方程计算结果与实验结果进行拟合,效果良好。  相似文献   

11.
The influence of Kachanov-Rabotnov type damage on creep buckling of a compressed column is investigated. All deformation and damage of the column is assumed to take place at a “creep and damage hinge”. Instantaneous buckling as well as creep buckling are shown to be represented by a certain instability surface in strain-damge-load space. The special case of purely brittle, i.e. non deforming, compressive instability is studied in some detail.  相似文献   

12.
An infinitely long, axially compressed, circular cylindrical shell with an imperfection in the shape of the axisymmetric classical buckling mode, undergoing steady or non-steady creep, is analyzed. The axisymmetric problem is solved incrementally using nonlinear shell equations The ratio of the applied stress to the classical buckling stress determines if the shell will collapse axisymmetrically or if it will bifurcate into a nonaxisymmetric mode, and whether or not bifurcation will result in instantaneous collapse. The bifurcation problem is formulated exactly and the initial postbuckling behavior is investigated via an asymptotic elastic analysis, based on Koiter's general theory Numerical results are compared with available experimental data.  相似文献   

13.
Optimality of geometrically non-linear eccentrically compressed columns of uniform strength in creep conditions is investigated. A third-order theory with siretehability of axis taken into account is employed. Norton's non-linear creep law and Kachanov's hypothesis of brittle creeprupture is used and an I-column of uniform strength for a given life-time is numerically evaluated. Then this column is. found to be non-optimal and a futher parametrical optimization is performed under the constraint of constant volume of the constant volume of the column. The life-time of the optimal column is considerably increased.  相似文献   

14.
Summary The postbuckling behavior of an elastic column with spring supports of equal stiffness of extensional type at both clamped ends is studied. Attention is focused on those of spring stiffnesses near the critical value at which, under axial load, the column becomes critical with respect to two buckling modes simultaneously. By using the Liapunov-Schmidt-Koiter approach, we show that there are precisely two secondary bifurcation points on each primary postbuckling state for the spring stiffness greater than the critical value. The bifurcation takes place at one of the two least buckling loads. The corresponding secondary postbuckling states connect all the secondary bifurcation points in a loop. For the spring stiffness less than the critical value, no secondary bifurcation occurs. Asymptotic expansions of the primary and secondary postbuckling states are constructed. The stability analysis indicates that the primary postbuckling state for the spring stiffness greater than the critical value is bifurcating from the first buckling load and becomes unstable from a stable state via the secondary bifurcation, i.e., secondary buckling occurs. Received 22 April 1997; accepted for publication 22 December 1997  相似文献   

15.
This paper presents a study on the postbuckling responses of shear deformable laminated plates resting on a tensionless foundation of the Pasternak-type and subjected to combined axial and thermal loads. Two different postbuckling cases are considered, namely (1) the compressive postbuckling of initially heated plates and (2) the thermal postbuckling of initially compressed plates. The postbuckling analysis of laminated plates is based on the higher order shear deformation plate theory with a von Kármán-type of kinematic non-linearity. It is assumed that the foundation reacts in compression only. The thermal effects are also included and the material properties are assumed to be temperature dependent. The initial geometric imperfection of the plates is taken into account. The analysis uses a two-step perturbation technique to determine the postbuckling response of the plates. An iterative scheme is developed to obtain numerical results without using any assumption on the shape of the contact region. Numerical solutions are presented in tabular and graphical forms to study the postbuckling behavior of antisymmetric angle-ply and symmetric cross-ply laminated plates resting on tensionless elastic foundations of the Pasternak-type, from which results for conventional elastic foundations are obtained as comparators. The results reveal that the unilateral constraint has a significant effect on the postbuckling response of the plates subjected to combined axial and thermal loads when the foundation stiffness is sufficiently large. The results also confirm that the postbuckling responses are significantly influenced by temperature dependency and initial membrane stress as well as initial thermal stress.  相似文献   

16.
By taking into account the effect of the bi-modulus for tension and compression of the fiber reinforced polymer (FRP) sheet in the reinforcement layer, a general mathematical model for the nonlinear bending of a slender timber beam strengthened with the FRP sheet is established under the hypothesis of the large deflection deformation of the beam. Nonlinear governing equations of the second order effect of the beam bending are derived. The nonlinear stability of a simply-supported slender timber column strengthened with the FRP sheet is then investigated. An expression of the critical load of the simply-supported FRP-strengthened timber beam is obtained. The existence of postbuckling solution of the timber column is proved theoretically, and an asymptotic analytical solution of the postbuckling state in the vicinity of the critical load is obtained using the perturbation method. Parameters are studied showing that the FRP reinforcement layer has great influence on the critical load of the timber column, and has little influence on the dimensionless postbuckling state.  相似文献   

17.
Detailed experimental studies are performed on the postbuckling behavior of circular cylindrical shells under compression, by using polyester test cylinders with the geometric parameterZ ranging from 20 to 1000. In each case, variations of the equilibrium load, circumferential wave number and maximum inward and outward deflections, with applied edge shortenings, are clarified. Contour lines for typical postbuckling configurations are also shown. It is found that, as the cylinder is compressed beyond the primary buckling, secondary bucklings take place successively with diminishing wave numbers, and that postbuckling equilibrium loads become significantly lower than those at buckling asZ increases. Further, for short shells withZ≦100, the buckled waveforms are always symmetric with one-tier diamond buckles, while for longer shells, asymmetric postbuckling patterns with two tiers of buckles dominate.  相似文献   

18.
By taking into account the effect of the bi-modulus for tension and compression of the fiber reinforced polymer (FRP) sheet in the reinforcement layer, a general mathematical model for the nonlinear bending of a slender timber beam strengthened with the FRP sheet is established under the hypothesis of the large deflection deformation of the beam. Nonlinear governing equations of the second order effect of the beam bending are derived. The nonlinear stability of a simply-supported slender timber column strengthened with the FRP sheet is then investigated. An expression of the critical load of the simply-supported FRP-strengthened timber beam is obtained. The existence of postbuckling solution of the timber column is proved theoretically, and an asymptotic analytical solution of the postbuckling state in the vicinity of the critical load is obtained using the perturbation method. Parameters are studied showing that the FRP reinforcement layer has great influence on the critical load of the timber column, and has little influence on the dimensionless postbuckling state.  相似文献   

19.
用电阻量测方法研究蠕变状态下的金属损伤   总被引:3,自引:0,他引:3  
本文建议一种量测蠕变下金属损伤的方法。与其它方法相比,这个方法可用于进行在蠕变试验过程中的损伤测量,而无需使试件卸载或冷却。用此方法对试验数据进行加工就可得到在蠕变过程中的试验损伤曲线。对这些曲线的分析导致结论:材料破坏时的损伤是所加应力的递减函数。这一结论是以前所得理论结果的试验验证。  相似文献   

20.
ABSTRACT

A postbuckling analysis is presented for a moderately thick rectangular plate subjected to combined axial compression and uniform temperature loading, and resting on a softening nonlinear elastic foundation. The cases of (1) thermal postbuckling of initially compressed plates and (2) compressive post-buckling of initially heated plates are considered. The initial geometrical imperfections of the plates are taken into account. Formulations are based on Reissner-Mindlin plate theory, considering first-order shear deformation effects, and including plate-foundation interaction and thermal effects. The analysis uses a deflection-type perturbation technique to determine buckling loads and postbuckling equilibrium paths. Numerical examples include the performance of perfect and imperfect, moderately thick plates resting on softening nonlinear elastic foundations. Typical results are presented in dimensionless graphical form.  相似文献   

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