Author
Marcin Kamiński
Other affiliations: University of Łódź, Rice University, University of Warsaw ...read more
Bio: Marcin Kamiński is an academic researcher from Lodz University of Technology. The author has contributed to research in topics: Finite element method & Homogenization (chemistry). The author has an hindex of 23, co-authored 175 publications receiving 1896 citations. Previous affiliations of Marcin Kamiński include University of Łódź & Rice University.
Papers published on a yearly basis
Papers
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TL;DR: In this article, a generalised nth order stochastic perturbation technique that can be applied to solve some boundary value or boundary initial problems in computational physics and/or engineering with random coefficients is presented.
136 citations
TL;DR: In this article, the second order perturbation and stochastic second central moment technique were applied to solve the homogenization problem of a periodic fiber-reinforced plane strain composite with random fiber and matrix Young's moduli.
136 citations
TL;DR: In this article, the perturbation method based on Taylor expansion and the effective modules method was used to derive and implement a general homogenization method, including the simultaneous determination of sensitivity gradients and probabilistic moments of the effective elasticity tensor.
62 citations
Book•
01 Jan 2005
TL;DR: The MCCEFF User's Manual as discussed by the authors provides a detailed discussion of the sensitivity analysis for some composites and a detailed analysis of the multiresolutional wavelet analysis for composites.
Abstract: Mathematical Preliminaries. -Elasticity Problems. -Elastoplastic Problems. -Sensitivity Analysis for Some Composites. -Fracture and Fatigue Models for Composites. -Reliability Analysis. -Multiresolutional Wavelet Analysis. -Appendix: MCCEFF User's Manual.
62 citations
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1,604 citations
TL;DR: In this paper, the extended finite element method (X-FEM) is used to solve multiscale analysis of complex geometries, where the mesh does not need to conform to the physical surfaces, it needs to be fine enough to capture the geometry of these surfaces.
663 citations
Book•
12 May 1997
TL;DR: In this paper, the basic concepts of Nonlinear Quasi-Static Problems at Regular States are discussed. And the concepts of Shape Sensitivity and Post-Buckling are discussed as well.
Abstract: PRELIMINARIES. Motivation: Sensitivity and Large-Scale Systems. Nonlinear Solid Mechanics: Continuous and Semi-Discretized Formulation. Concepts of Sensitivity Analysis for Linear Systems.THE SENSITIVITY OF NONLINEAR SYSTEMS. The Basic Concepts of Nonlinear Quasi-Static Problems at Regular States. Inelastic Systems. Shape Sensitivity. Buckling and Post-Buckling. Nonlinear Dynamics. Metal Forming Using the Flow Approach. Nonlinear Thermal Systems. Appendices. References. Index. Glossary of Symbols.
242 citations
TL;DR: In this article, the uncertainty in FRP composites has been quantified and a review of different stochastic modelling approaches suggested in the literature can be found in Section 2.1.
Abstract: The extensive use of FRP composite materials in a wide range of industries, and their inherent variability, has prompted many researchers to assess their performance from a probabilistic perspective. This paper attempts to quantify the uncertainty in FRP composites and to summarise the different stochastic modelling approaches suggested in the literature. Researchers have considered uncertainties starting at a constituent (fibre/matrix) level, at the ply level or at a coupon or component level. The constituent based approach could be further classified as a random variable based stochastic computational mechanics approach (whose usage is comparatively limited due to complex test data requirements and possible uncertainty propagation errors) and the more widely used morphology based random composite modelling which has been recommended for exploring local damage and failure characteristics. The ply level analysis using either stiffness/strength or fracture mechanics based models is suggested when the ply characteristics influence the composite properties significantly, or as a way to check the propagation of uncertainties across length scales. On the other hand, a coupon or component level based uncertainty modelling is suggested when global response characteristics govern the design objectives. Though relatively unexplored, appropriate cross-fertilisation between these approaches in a multi-scale modelling framework seems to be a promising avenue for stochastic analysis of composite structures. It is hoped that this review paper could facilitate and strengthen this process.
238 citations