Computational Simulation of Stochastic Soils
随机土壤的计算模拟
基本信息
- 批准号:0600766
- 负责人:
- 金额:$ 26.96万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2006
- 资助国家:美国
- 起止时间:2006-09-15 至 2010-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This research deals with the development of a methodology to incorporate probabilistic theory into elastic-plastic computational geomechanics. Of special interest are the influence of uncertain soil properties and the non-uniformity of soil on the (average) mechanical response. Current state-of-the-art in inelastic simulations of solids and structures (made of geomaterials, concrete or steel)take into account probabilistic approach to loads only (earthquake and wind) but the very important (and in many cases, the main) source of uncertainty is in material properties. This is particularly true for soil materials. The proposed development is motivated by several reasons: - Modern building regulations are increasingly being based on reliability methods. Load and Resistance Factor based codes are a good example. Legal concerns require that assessment of geotechnical object behavior be made using probabilistic framework (reliability analysis, as found in nuclear and offshore industry). Unfortunately, advanced assessment of behavior of geotechnical objects (numerical simulations) are still almost exclusively done deterministically; - Object owners increasingly use probabilistic theories to decide on best course of action for developing new, upgrading or repairing existing objects. Crucial decisions on the extent of work, financing and scheduling are made using probabilistic theories. The actual performance assessment used in that decisions process is still almost exclusively deterministic; - Consistent development of probabilistic framework for geotechnical simulations will provide a rational way to address our confidence (or lack of one) in simulated behavior. For example, proposed development will empower engineers to demonstrate the need for more (uniform) data on material properties, development of novel site characterization techniques and to design the foundation and levee systems that (probably) achieve best performance; Proposed development will be based on state-of-the-art probabilistic framework, centered on numerical solutions to Fokker-Planck equation and it's consistent use in theory of elasto-plasticity and to the use of Karhunen-Loeve expansion and Galerkin method with polynomial chaos expansion for the Finite Element Formulation. The intellectual merit of proposed project is in first application of state of the art probabilistic developments for elastic-plastic modeling and simulations. Of particular importance is the application of developed methodology to soils, which exhibit high degree of non-uniformity and where material properties are highly uncertain. Modeling and simulations of geotechnical problems (for example geotechnical earthquake engineering, static and dynamic stability of slopes, dams and levees, static and dynamic behavior of shallow and deep foundations) are some of the most complex problems in computational mechanics. Application of probabilistic methodology to non-uniform soils and uncertain soil parameters will recast these problems in appropriate probabilistic framework. It will also reduce the amount of epistemic uncertainty and decrease the size of aleatory uncertainty domain. The broader impact of proposed research is expected to be much wider than in geotechnical engineering. The phenomena of spatial variability and uncertainty of material properties is present in all materials. The appropriate formulation and implementation (developed, implemented, verified and validated during proposed project) that incorporate above phenomena into advanced numerical simulations will have impact in mechanical, biomedical, materials, aerospace, as well as other areas of civil engineering.
本研究旨在发展一套将概率理论纳入弹塑性计算地质力学的方法。特别感兴趣的是不确定的土壤性质和土壤的非均匀性(平均)机械响应的影响。目前最先进的固体和结构(由地质材料,混凝土或钢制成)的非弹性模拟仅考虑载荷(地震和风)的概率方法,但非常重要的(在许多情况下,主要的)不确定性来源是材料特性。对于土壤材料来说尤其如此。提出的发展是出于以下几个原因:-现代建筑法规越来越多地基于可靠性方法。基于载荷和阻力系数的代码就是一个很好的例子。法律的考虑要求使用概率框架(可靠性分析,如核工业和海上工业中所见)对岩土工程对象行为进行评估。不幸的是,先进的评估行为的岩土对象(数值模拟)仍然几乎完全确定性地完成; -对象所有者越来越多地使用概率理论来决定最佳的行动方案,用于开发新的,升级或修复现有的对象。关于工作范围、融资和进度安排的关键决策是使用概率理论做出的。决策过程中使用的实际性能评估仍然几乎完全是确定性的; -岩土模拟的概率框架的一致发展将提供一种合理的方式来解决我们对模拟行为的信心(或缺乏信心)。例如,拟议的开发将使工程师能够证明需要更多(统一)的材料特性数据,开发新的场地表征技术,并设计基础和堤坝系统,(可能)取得最佳业绩;拟议的发展将基于最先进的概率框架,重点介绍了Fokker-Planck方程的数值解及其在弹塑性理论中的一致性,以及在有限元列式中采用的Karhunen-Loeve展开和Galerkin方法与多项式混沌展开。拟议项目的智力价值是在最先进的概率发展的弹塑性建模和模拟的第一个应用程序。特别重要的是开发的方法应用于土壤,表现出高度的不均匀性和材料特性是高度不确定的。岩土工程问题的建模和模拟(例如岩土地震工程,斜坡,大坝和堤坝的静态和动态稳定性,浅基础和深基础的静态和动态行为)是计算力学中最复杂的问题。将概率方法应用于非均匀土壤和不确定的土壤参数将在适当的概率框架中重新考虑这些问题。它还将减少认知不确定性的数量,减少偶然不确定性域的大小。拟议研究的更广泛影响预计将比岩土工程广泛得多。材料特性的空间变异性和不确定性现象存在于所有材料中。将上述现象纳入高级数值模拟的适当制定和实施(在拟议项目期间开发,实施,验证和验证)将对机械,生物医学,材料,航空航天以及土木工程的其他领域产生影响。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Boris Jeremic其他文献
Boris Jeremic的其他文献
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{{ truncateString('Boris Jeremic', 18)}}的其他基金
Collaborative Research: Development of Realistic Seismic Input Motions for Improving the Resilience of Infrastructure to Earthquakes
合作研究:开发真实的地震输入运动以提高基础设施的抗震能力
- 批准号:
2053836 - 财政年份:2021
- 资助金额:
$ 26.96万 - 项目类别:
Standard Grant
Collaborative Research: Stochastic Nonlinear Dynamic Simulation for Prediction of Seismic Ground Motion
合作研究:用于预测地震地面运动的随机非线性动态模拟
- 批准号:
1200702 - 财政年份:2012
- 资助金额:
$ 26.96万 - 项目类别:
Standard Grant
Collaborative Research: Demonstration of NEES for Studying Soil-Foundation-Structure Interaction
合作研究:用于研究土-地基-结构相互作用的 NEES 演示
- 批准号:
0324661 - 财政年份:2003
- 资助金额:
$ 26.96万 - 项目类别:
Continuing Grant
U. S. Participation at the High Performance Computing Workshop in Parallel Finite Element Analysis; September 1-5 2003; Manchester University, UK
美国参加并行有限元分析高性能计算研讨会;
- 批准号:
0337811 - 财政年份:2003
- 资助金额:
$ 26.96万 - 项目类别:
Standard Grant
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