共查询到15条相似文献，搜索用时 187 毫秒
1.
鉴于Jaumann率型本构关系难以得到应力应变全量之间的严格解析形式,采用有限元法研究了一维大变形过程中Kirchhoff应力和Green应变之间的变化规律。首先,基于虚功原理推导了完全拉格朗日描述的大变形有限元方程,然后提出了模拟大变形本构关系的双曲线模型和割线模量处理方法。算例分析结果表明,双曲线模型能够较好地拟合大变形本构关 系。大变形计算本构关系应当考虑初始孔隙比的影响。 相似文献
2.
《岩土力学》2017,(5):1510-1516
亚塑性模型是以Jaumann应力率张量及变形率张量描述的一种率型本构关系,本构关系在非线性有限元分析计算中具有关键作用,解决用应变增量求解应力响应的问题需要一个时间积分过程。针对亚塑性本构模型发展了自适应隐式和显式两种不同的积分算法,给出了误差控制的方法,同时推导了自适应隐式积分算法所需的一致切向模量,并采用了两个不同的单元,利用ABAQUS平台比较了两种积分算法的数值模拟结果。为了实现从ABAQUS/Standard到ABAQUS/Explicit的过渡,开发了UMAT-VUMAT接口,从而可以使已有的UMAT子程序用于大变形动力问题分析。算例分析证明了研究结果的正确性。 相似文献
3.
研究了基于完全拉格朗日（Total Lagrangian）描述的大变形有限元法分析地基沉降问题的几何刚度效应。在有限元列式的推导过程中严格考虑了土力学表述习惯的影响。通过算例分析,主要研究了几何刚度效应对荷载-沉降曲线的影响,并对比分析了不同率型大变形分析中的几何刚度效应问题。结果表明,几何刚度效应的存在减小了地基大变形有限元系统的刚度;忽略几何刚度效应将导致沉降计算结果偏小,在地基变形较大的情况下误差更明显,Truesdell率型大变形分析的最终沉降结果与小变形法的结果一致。几何刚度效应在地基大变形有限元分析中具有一定程度的影响,处理不当可能出现结构刚度增大的现象。大变形分析结果的性质偏于刚硬。 相似文献
4.
压实黄土变形特性 总被引：4，自引：0，他引：4
黄土路基填料的变形特性直接关系到路基沉降和路基边坡坡度的选取,是黄土地基工程、边坡工程和洞室工程设计计算的重要参数。基于一维室内固结试验,分析了压实黄土变形特性。引入压缩变形系数,分析了压实黄土的物理指标（含水量、压实度）与变形指标（压缩变形系数、压缩系数）的关系,采用应变法来表达压缩变形曲线结果;引入非线性应力、应变关系的割线模量,研究了压实黄土的加荷本构模型和增（减）湿本构模型。结果表明：压实黄土的物理指标对其变形特性影响较大,压实黄土的应力-应变关系可以用幂函数 的形式来表达,提出了压实黄土的加荷本构模型和增（减）湿本构模型,该模型具有较高的可靠性,为研究黄土路基沉降特性提供了有力依据。 相似文献
5.
6.
7.
《岩土力学》2021,(3)
为了研究高含冰量冻土路基的融化固结规律,本文在线性大变形融化固结理论的基础上引入非线性本构关系,并运用分段插值法实现了孔隙比与压缩模量之间的非线性关系,完善了三维大变形融化固结数值模拟方法。在此基础上结合青藏公路实测数据验证了其合理性。研究结果表明,采用非线性应力应变关系的大变形融化固结理论能够显著提高高含冰量冻土路基的沉降计算精度,并能够进一步合理描述热学场和力学场的相互叠加影响。冻土融化固结度受有效融化固结时间以及特征排水长度等因素的影响呈现出完全不同于融土路基的发展规律,即：在路基运营初期其融化固结度上升,随着时间发展其固结度在达到峰值后持续降低,这主要是由于融化深度持续增大后所引起的特征排水长度的增加和有效融化固结时间的缩短所造成的。因此,在计算高含冰量冻土路基稳定性设计指标时,应采用非线性应力应变关系来进一步提高融化深度、沉降以及固结度等指标的计算精度。 相似文献
8.
为了研究高含冰量冻土路基的融化固结规律，在线性大变形融化固结理论的基础上引入非线性本构关系，并运用分段插值法实现了孔隙比与压缩模量之间的非线性关系，完善了三维大变形融化固结数值模拟方法。在此基础上结合青藏公路实测数据验证了其合理性。研究结果表明，采用非线性应力?应变关系的大变形融化固结理论能够显著提高高含冰量冻土路基的沉降计算精度，并能够进一步合理描述热学场和力学场的相互叠加影响。冻土融化固结度受有效融化固结时间以及特征排水长度等因素的影响呈现出完全不同于融土路基的发展规律，即在路基运营初期其融化固结度上升，随着时间发展，其固结度在达到峰值后持续降低，这主要是由于融化深度持续增大后所引起的特征排水长度的增加和有效融化固结时间的缩短所造成的。因此，在计算高含冰量冻土路基稳定性设计指标时，应采用非线性应力?应变关系来进一步提高融化深度、沉降以及固结度等指标的计算精度。 相似文献
9.
颗粒材料的亚塑性模型以Jaumann应力率张量及变形率张量描述本构关系,基于Cauchy应力的Jaumann速率及变形率给出了有限元的切线刚度矩阵,由此指出在严格意义上基于ABAQUS二次开发的亚塑性模型数值实现必需借助UEL接口。为了简化程序开发,文中建议了与有限元相结合的两种近似切线模量矩阵,即基于矩阵广义逆一致性切向模量矩阵与近似切向模量矩阵,从而形成了通过UMAT接口实现亚塑性模型的数值方案。由此降低了程序开发的难度,同时也可借助ABAQUS的后处理功能,提高了工作效率。数值算例表明了所开发程序的正确性以及所建议方案的可行性。 相似文献
10.
沉积形成的水底黏性泥砂自重固结过程表现出显著非线性大变形固结特征,应采用大变形固结理论进行泥砂沉积固结计算。基于软黏土一维非线性大应变固结理论,应用有效应力、渗透系数与孔隙比间扩展幂次函数固结本构关系,由达西定律、有效应力原理、连续介质方程等建立大变形固结控制方程,根据固结单元孔隙水渗流、单元变形与泥砂沉积层固结沉降耦合关系形成黏性泥砂大变形自重固结数值模型。泥砂自重作为固结荷载,数值模型假定沉积泥砂各向同性且固结沉降应变、孔隙水渗流仅发生于竖直方向,为一维单向沉积固结过程;采用泥砂沉降柱试验确定泥砂非线性扩展幂次函数关系参数。模型应用中,划分竖向固结单元,由沉积泥砂固结本构关系确定各固结单元有效应力及超孔隙水应力,通过超孔隙水应力时间维度上的消散过程及各固结参数间的耦合关系计算泥砂固结沉降。数值模型计算结果表明,沉积黏性泥砂自重固结初期表现为有效应力调整过程,初始有效应力与孔隙比根据固结本构关系匹配调整为扩展幂次函数关系;沉积泥砂应变与应力固结度存在20%左右误差,泥砂固结沉降发展快于超孔隙水应力消散过程,证明沉积泥砂固结沉降变形的发展与超孔隙水应力消散并非同步耦合。计算模型应用于室内沉降柱试验模拟淤积黏性泥砂自重固结沉降预测中,模型输出与试验结果符合良好。 相似文献
11.
The formulation of the poroelastoplastic constitutive equations at large strains of a fully saturated material is performed focusing on the usually ignored influence of large strain plasticity on the poroelastic properties. A micromechanics approach allows to take into account the evolution of the microstructure geometry which in turn induces a coupling between elasticity and plasticity. Such a coupling results in an additional term in the macroscopic Cauchy stress rate equation derived from inclusion‐based estimates that leads to a modified Jaumann derivative. The pressure rate equation is also analysed. The finite element discretization of finite poroplasticity is then presented taking into account the elasticity–plasticity coupling. Application to the consolidation situation shows that the coupling may lead to non‐negligible effects. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
12.
INTRODUCTIONThe mechanical responses of soils are more com-plicated compared with metals.By comparing thephysical and mechanical properties of the metals withsoils,Lade(1988)found that there are17differentpoints between the metals and soils,which differfrom metals inthree basic mechanical characteristics:pressure sensitivity,dilatancy,and dependence ofstress path.Wang(2004)proposed a principle of theinteraction between plastic volume and shear strains,that is,there are two relatively inde… 相似文献
13.
Many pieces of evidence have confirmed that the seepage in fine-grained soils can deviate from traditional Darcy's law that contributes to the consolidation theory. In this paper, a numerical model, referred to as consolidation with non-Darcian flow 2 (CNDF2), is developed for the 1D large strain consolidation of a saturated porous medium with the non-Darcian flow. The algorithm accounts for vertical strain, general constitutive relationships, the relative velocity of the fluid and solid phases, variable compressibility and permeability relation during consolidation, time-dependent loading, and unload/reload effects. Compared with the CS2 model proposed in previous studies, some parts of the CNDF2 model are modified in order to adapt to the non-Darcian flow, especially the equivalent series hydraulic conductivity and fluid flow. The verification examples of the CNDF2 model demonstrate excellent accuracy for both small strain and large strain consolidation. According to the applicable conditions of non-Darcian flow law, the CNDF2 model is most suitable for the fine-grained soil. The development of CNDF2 is first presented, followed by examples to analyze the influences of the non-Darcian flow on the consolidation behavior. 相似文献
14.
This paper examines difficulties encountered when using the Green-Nagdi rate and presents an updated configuration formulation for problems dealing with large deformations. It is shown that a natural link can be established between the updated reference configuration and linearized updated Lagrangian formulations, if Truesdell's objective stress rate is used. Owing to this connection, any limitations associated with the described formulation would be expected to also apply to an updated Lagrangian formulation and vice versa. It is pointed out that, if second-order effects are induced, the Truesdell rate appears in the rate equation for equilibrium even when strains are infinitesimal. By examining a simple-shear problem, where hypoelastic material behaviour with ‘Hooke's law’ is assumed, it is shown that the spherical state of stress is coupled with the shear stress when using the Truesdell or Green-Nagdi stress rate. It is suggested that objective stress rates, introduced in large-deformation formulations, may contribute to erroneous predictions if a constitutive law is developed independent of the adopted stress rate. 相似文献
15.
Tensorially invariant constitutive relations are systematically derived for large strain elastoplastic response of geomaterials. The analysis centres on Mohr–Coulomb (MC) and Drucker–Prager (DP) models with arbitrary hardening and non-associated response. Both flow and deformation theories are constructed for each model with emphasis on linear incremental relations between the Eulerian strain rate tensor and the objective Jaumann stress rate tensor. Specifying the results for plane strain compression we find that deformation theory produces a much smaller tangent instantaneous shear modulus than flow theory. It follows that failure of ellipticity and onset of surface instabilities predicted by deformation theory for associated solids occur at much lower levels of strain than the corresponding flow theory results. On the other hand, flow theory predictions admit a considerable sensitivity to the level of non-associativity. In fact, at high levels of non-associativity flow theory predictions for loss of ellipticity can be at strains below those obtained from deformation theory. © 1997 John Wiley & Sons, Ltd. 相似文献