NDLI: Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded

Content Provider	Springer Nature Link
Author	Milani, Gabriele Lourenço, Paulo B.
Copyright Year	2010
Abstract	A simple rigid-plastic homogenization model for the limit analysis of masonry walls in-plane loaded and constituted by the random assemblage of blocks with variable dimensions is proposed. In the model, blocks constituting a masonry wall are supposed infinitely resistant with a Gaussian distribution of height and length, whereas joints are reduced to interfaces with frictional behavior and limited tensile and compressive strength. Block by block, a representative element of volume (REV) is considered, constituted by a central block interconnected with its neighbors by means of rigid-plastic interfaces. The model is characterized by a few material parameters, is numerically inexpensive and very stable. A sub-class of elementary deformation modes is a-priori chosen in the REV, mimicking typical failures due to joints cracking and crushing. Masonry strength domains are obtained equating the power dissipated in the heterogeneous model with the power dissipated by a fictitious homogeneous macroscopic plate. Due to the inexpensiveness of the approach proposed, Monte Carlo simulations can be repeated on the REV in order to have a stochastic estimation of in-plane masonry strength at different orientations of the bed joints with respect to external loads accounting for the geometrical statistical variability of blocks dimensions. Two cases are discussed, the former consisting on full stochastic REV assemblages (obtained considering a random variability of both blocks height an length) and the latter assuming the presence of a horizontal alignment along bed joints, i.e. allowing blocks height variability only row by row. The case of deterministic blocks height (quasi-periodic texture) can be obtained as a subclass of this latter case. Masonry homogenized failure surfaces are finally implemented in an upper bound FE limit analysis code for the analysis at collapse of entire walls in-plane loaded. Two cases of engineering practice, consisting on the prediction of the failure load of a deep beam and a shear wall arranged with random texture are critically discussed. In particular, homogenization results are compared with those provided by a heterogeneous approach. Good agreement is found both on the failure mechanism and on the distribution of the collapse load.
Starting Page	827
Ending Page	849
Page Count	23
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	46
Issue Number	6
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-07-24
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Masonry In-plane loads Homogenization Random pattern Monte Carlo simulations Classical Continuum Physics Computational Science and Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded

Homogenized limit analysis of FRP-reinforced masonry walls out-of-plane loaded

Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM

Heterogeneous upper-bound finite element limit analysis of masonry walls out-of-plane loaded

Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-carlo method

A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded

Regularization of first order computational homogenization for multiscale analysis of masonry structures

Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties

On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure

Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded

Similar Documents

Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded

Homogenized limit analysis of FRP-reinforced masonry walls out-of-plane loaded

Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM

Heterogeneous upper-bound finite element limit analysis of masonry walls out-of-plane loaded

Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-carlo method

A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded

Regularization of first order computational homogenization for multiscale analysis of masonry structures

Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties

On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure

Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded