System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines

Metya, Subhadeep; Mukhopadhyay, T.; Adhikari, Sondipon; Bhattacharya, Gautam

doi:10.1016/j.compgeo.2017.02.017

Cited by 82 publications

(14 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In case of such complex input-output relationships, an efficient surrogate based Monte Carlo simulation approach can be adopted to carry out the search for minimum and maximum values of the output quantities of interest for a particular α-cut level. In this analysis, radial basis function [Beatson (1999), Fasshauer (1997, Hon and Mao (2001), Kansa (1990aKansa ( , 1990b, Kansa and Hon (2000)] is employed as a surrogate , Karsh et al (2018b), Maharshi et al (2018), Metya et al (2017), Mahata et al (2016), Dey et al (2015Dey et al ( , 2016dDey et al ( , 2016e, 2018b] of the actual finite element model of composites.…”

Section: Theoretical Formulation For Fuzzy Finite Element Analysis Of Compositesmentioning

confidence: 99%

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Naskar

Mukhopadhyay

Sriramula

2019

Composite Structures

Self Cite

View full text Add to dashboard Cite

This article presents a non-probabilistic fuzzy based multi-scale uncertainty propagation framework for studying the dynamic and stability characteristics of composite laminates with spatially varying system properties. Most of the studies concerning the uncertainty quantification of composites rely on probabilistic analyses, where the prerequisite is to have the statistical distribution of stochastic input parameters. In many engineering problems, these statistical distributions remain unavailable due to the restriction of performing large number of experiments. In such situations, a fuzzy-based approach could be appropriate to characterize the effect of uncertainty. A novel concept of fuzzy representative volume element (FRVE) is developed here for accounting the spatially varying non-probabilistic source-uncertainties at the input level. Such approach of uncertainty modelling is physically more relevant than the prevalent way of modelling non-probabilistic uncertainty without considering the ply-level spatial variability. An efficient radial basis function based stochastic algorithm coupled with the fuzzy finite element model of composites is developed for the multi-scale uncertainty propagation involving multi-synchronous triggering parameters. The concept of a fuzzy factor of safety (FFoS) is discussed in this paper for evaluation of safety factor in the non-probabilistic regime. The results reveal that the present physically relevant approach of modelling fuzzy uncertainty considering plylevel spatial variability obtains significantly lower fuzzy bounds of the global responses compared to the conventional approach of non-probabilistic modelling neglecting the spatially varying attributes.

show abstract

Section: Theoretical Formulation For Fuzzy Finite Element Analysis Of Compositesmentioning

confidence: 99%

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Naskar

Mukhopadhyay

Sriramula

2019

Composite Structures

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the aspect of slope stability analysis, a lot of literatures have been reported different approaches to study it [9][10][11][12][13][14][15]. However, it is essentially different that mechanical properties and geological structure patterns under the situations of soil and rock slope.…”

Section: Traditional Approaches In Slope Stability Analysismentioning

confidence: 99%

An integrated approach for jointed rock slope stability analysis using stochastic discrete fractures: A case study in mountains area

et al. 2019

View full text Add to dashboard Cite

Stochastic discrete fractures are ubiquitous in practicing engineering and contribute much to the stability for geological mediums. In contrast to the traditional treatments based on continuum mechanics, we propose an integrated approach using discrete fractures based on an improved hybrid finite element method (FEM). A typical jointed rock slop is selected as a case study and then was simulated in the light of geological conditions for the study site. The basic equations of fracture domains are derived to generate stochastic discrete fractures which render a fundamental to the model. To implement this procedure through computer program, discrete fractures generating algorithm was developed. In the aspect of discretization, we presented a meshing scheme and proposed an algorithm to create fracture elements. To evaluate rock slope stability in a quantitative way, safety factor is calculated by strength reduction method. Numerical simulations were carried out showing the mechanical behaviors of jointed rock slope under different boundary conditions.

show abstract

“…In this section, a brief overview is given for the surrogate modelling approach on the basis of high dimensional model representation (HDMR) coupled with the diffeomorphic modulation under observable response preserving homotopy (DMORPH) algorithm. In general, the surrogate models (Dey et al (2016a(Dey et al ( , 2016f, 2018, Mukhopadhyay (2019), , Karsh et al (2018b), Maharshi et al (2018), Mahata et al (2016), Metya et al (2017)) are employed to reduce the number of function evaluations based on actual simulation/ experimental models in a Monte Carlo simulation (refer to figure 4) or a process involving iterative simulations (such as optimization), which need large number of realizations corresponding to random set of input parameters. The surrogate models can encompass any prospective combination of all the input variables within the analysis domain.…”

Section: Hdmr Based Surrogate Modelling Coupled With Dmorph Algorithmmentioning

confidence: 99%

Probabilistic micromechanical spatial variability quantification in laminated composites

Naskar

Mukhopadhyay

Sriramula

2018

Composites Part B: Engineering

View full text Add to dashboard Cite

This article presents a probabilistic framework to characterize the dynamic and stability parameters of composite laminates with spatially varying micro and macro-mechanical system properties. A novel approach of stochastic representative volume element (SRVE) is developed in the context of two dimensional plate-like structures for accounting the correlated spatially varying properties. The physically relevant random field based uncertainty modelling approach with spatial correlation is adopted in this paper on the basis of Karhunen-Loève expansion. An efficient coupled HDMR and DMORPH based stochastic algorithm is developed for composite laminates to quantify the probabilistic characteristics in global responses. Convergence of the algorithm for probabilistic dynamics and stability analysis of the structure is verified and validated with respect to direct Monte Carlo simulation (MCS) based on finite element method. The significance of considering higher buckling modes in a stochastic analysis is highlighted. Sensitivity analysis is performed to ascertain the relative importance of different macromechanical and micromechanical properties. The importance of incorporating source-uncertainty in spatially varying micromechanical material properties is demonstrated numerically. The results reveal that stochasticity (/ system irregularity) in material and structural attributes influences the system performance significantly depending on the type of analysis and the adopted uncertainty modelling approach, affirming the necessity to consider different forms of source-uncertainties during the analysis to ensure adequate safety, sustainability and robustness of the structure.

show abstract

System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines

Cited by 82 publications

References 48 publications

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

An integrated approach for jointed rock slope stability analysis using stochastic discrete fractures: A case study in mountains area

Probabilistic micromechanical spatial variability quantification in laminated composites

Contact Info

Product

Resources

About