Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method

This paper discusses a multiscale stochastic stress analysis of a heterogeneous material via the stochastic homogenization analysis. In particular, a nonuniform microscopic random variation is taken into account in this paper. The influence of the nonuniformity on the random variation of the microscopic stresses is investigated. Monte-Carlo simulation or the first order perturbation-based stochastic homogenization method is employed for the analysis. The Coefficient of Variance (CV) of the microscopic stress is analyzed for several cases of nonuniform microscopic random variations. With the numerical results, influence of the nonuniform microscopic random variation on the CVs of the microscopic stresses is discussed. Also, applicability of the perturbation method to the analysis is investigated in comparison with the Monte-Carlo simulation

show abstract

“…Additionally, the weighted least square method has been proposed for approximate stochastic homogenization analysis (11) .…”

Section: Introductionmentioning

confidence: 99%

A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation

Sakata

Ashida

Ohsumimoto

2013

JCST

Self Cite

View full text Add to dashboard Cite

show abstract

Stochastic homogenization analysis of a porous material with the perturbation method considering a microscopic geometrical random variation

Sakata

Ashida

Ohsumimoto

2013

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

A Local Sensitivity-Based Multiscale Stochastic Stress Analysis of a Unidirectional Fiber-Reinforced Composite Material Considering Random Location Variation of Multifibers

Sakata

Sakamoto

2019

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

View full text Add to dashboard Cite

This paper describes an efficient computational method for estimating the probabilistic properties of the maximum microscopic stresses in a unidirectional fiber-reinforced composite material against microscopic random variations of fibers locations. Some microscopic geometrical random variations will cause a large variation of the microscopic stresses, even if the influence on the homogenized elastic properties is small. The random variation of the microscopic stresses will have a significant influence on the apparent strength of composites, and therefore, estimation of the random variation will be important for reliability-based design of a composite structure. Further, for more precise analysis, a unit cell containing many inclusions should be employed. When the number of random variables becomes large, a multipoint approximation-based approach will not be appropriate. Therefore, a computational approach with a local surrogate constructed by a successive sensitivity analysis is proposed in this paper. The realizations of the microscopic stresses are estimated with the successive sensitivity-based local surrogate, and the probabilistic properties of the stresses are estimated with using the approximated realizations in the Monte Carlo simulation. As an example, the multiscale stochastic stress analysis of a unidirectional fiber-reinforced composite plate under unidirectional tensile load along the transverse direction is performed with considering randomness in fibers locations. For this problem, probabilistic properties as the expectation and coefficient of variation of the maximum microscopic stresses in resin are estimated. From comparisons between the direct Monte Carlo simulation and the proposed method, validity and effectiveness of the proposed approach are discussed.

show abstract

Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method

Cited by 4 publications

References 9 publications

A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation

A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation

Stochastic homogenization analysis of a porous material with the perturbation method considering a microscopic geometrical random variation

A Local Sensitivity-Based Multiscale Stochastic Stress Analysis of a Unidirectional Fiber-Reinforced Composite Material Considering Random Location Variation of Multifibers

Contact Info

Product

Resources

About