{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:05:42Z","timestamp":1760238342266,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,7,30]],"date-time":"2020-07-30T00:00:00Z","timestamp":1596067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of functionally graded material plates with inhered material randomness. A first order shear deformation theory with an artificial shear correction factor was used for spatial discretization. The output randomness is represented by polynomial chaos expansion. The robustness and accuracy of the framework were demonstrated by comparing the results with Monte Carlo simulations. A systematic parametric study was carried out to bring out the sensitivity of the input randomness on the stochastic output response using Sobol\u2019 indices. Functionally graded plates made up of Aluminium (Al) and Zirconium Oxide (ZrO2) were considered in all the numerical examples.<\/jats:p>","DOI":"10.3390\/axioms9030092","type":"journal-article","created":{"date-parts":[[2020,7,31]],"date-time":"2020-07-31T04:15:31Z","timestamp":1596168931000},"page":"92","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty"],"prefix":"10.3390","volume":"9","author":[{"given":"Shaima M.","family":"Dsouza","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India"}]},{"given":"Tittu Mathew","family":"Varghese","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9884-1622","authenticated-orcid":false,"given":"P. R.","family":"Budarapu","sequence":"additional","affiliation":[{"name":"School of Mechanical Sciences, Indian Institute of Technology Bhubaneshwar, Bhubaneshwar 752050, India"}]},{"given":"S.","family":"Natarajan","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.compositesb.2016.04.083","article-title":"Energy absorption of repaired composite laminates subjected to impact loading","volume":"98","author":"Balaganesan","year":"2016","journal-title":"Compos. 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