Accurate and efficient thermal stress analyses of functionally graded solids using incompatible graded finite elements
Functionally graded materials have found a wide usage in high temperature applications. The smooth transition from one material to another, in graded materials, may reduce thermal stresses, residual stresses and stress concentration factors as well as utilize properties of both materials. To perform...
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| Published in | Composite structures Vol. 222; p. 110909 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
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Elsevier Ltd
15.08.2019
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| Abstract | Functionally graded materials have found a wide usage in high temperature applications. The smooth transition from one material to another, in graded materials, may reduce thermal stresses, residual stresses and stress concentration factors as well as utilize properties of both materials. To perform accurate and efficient finite element analysis for heat transfer and transient thermal stress analyses in two-dimensional functionally graded materials, incompatible graded finite elements are developed and verified. User-defined subroutines in ABAQUS are developed to address the gradation of material properties within an element. An emphasis is made on an incompatible six-node graded finite element (QM6) which is accurate and efficient compared to linear four-node (Q4) and quadratic eight-node (Q8) elements. With the help of posteriori error estimation, a critical comparison is made among three types of solid elements. Modified 6-node (QM6) incompatible graded elements provide better accuracy than Q4 elements and take less computational time than Q8 elements, thereby showing QM6 as an optimal element for engineering analysis. |
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| AbstractList | Functionally graded materials have found a wide usage in high temperature applications. The smooth transition from one material to another, in graded materials, may reduce thermal stresses, residual stresses and stress concentration factors as well as utilize properties of both materials. To perform accurate and efficient finite element analysis for heat transfer and transient thermal stress analyses in two-dimensional functionally graded materials, incompatible graded finite elements are developed and verified. User-defined subroutines in ABAQUS are developed to address the gradation of material properties within an element. An emphasis is made on an incompatible graded finite element (QM6) which is accurate and efficient compared to linear four-node (Q4) and quadratic eight-node (Q8) elements. With the help of posteriori error estimation, a critical comparison is made among three types of solid elements. Modified 6-node (QM6) incompatible graded elements provide better accuracy than Q4 elements and take less computational time than Q8 elements, thereby showing QM6 as an optimal element for engineering analysis. Functionally graded materials have found a wide usage in high temperature applications. The smooth transition from one material to another, in graded materials, may reduce thermal stresses, residual stresses and stress concentration factors as well as utilize properties of both materials. To perform accurate and efficient finite element analysis for heat transfer and transient thermal stress analyses in two-dimensional functionally graded materials, incompatible graded finite elements are developed and verified. User-defined subroutines in ABAQUS are developed to address the gradation of material properties within an element. An emphasis is made on an incompatible six-node graded finite element (QM6) which is accurate and efficient compared to linear four-node (Q4) and quadratic eight-node (Q8) elements. With the help of posteriori error estimation, a critical comparison is made among three types of solid elements. Modified 6-node (QM6) incompatible graded elements provide better accuracy than Q4 elements and take less computational time than Q8 elements, thereby showing QM6 as an optimal element for engineering analysis. |
| ArticleNumber | 110909 |
| Author | Dhital, Sukirti Kim, Jeongho Zhang, Yu Rokaya, Asmita Kaizer, Marina R. |
| AuthorAffiliation | 1 Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269 2 Department of Biomaterials and Biomimetics, New York University College of Dentistry, 433 First Avenue, New York, NY 10010 |
| AuthorAffiliation_xml | – name: 1 Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269 – name: 2 Department of Biomaterials and Biomimetics, New York University College of Dentistry, 433 First Avenue, New York, NY 10010 |
| Author_xml | – sequence: 1 givenname: Sukirti surname: Dhital fullname: Dhital, Sukirti organization: Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269, United States – sequence: 2 givenname: Asmita surname: Rokaya fullname: Rokaya, Asmita organization: Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269, United States – sequence: 3 givenname: Marina R. surname: Kaizer fullname: Kaizer, Marina R. organization: Department of Biomaterials and Biomimetics, New York University College of Dentistry, 433 First Avenue, New York, NY 10010, United States – sequence: 4 givenname: Yu surname: Zhang fullname: Zhang, Yu organization: Department of Biomaterials and Biomimetics, New York University College of Dentistry, 433 First Avenue, New York, NY 10010, United States – sequence: 5 givenname: Jeongho surname: Kim fullname: Kim, Jeongho email: jeongho.kim@uconn.edu organization: Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269, United States |
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| Cites_doi | 10.1115/1.1467094 10.1155/2016/7514638 10.1016/0389-4304(95)00013-W 10.1115/1.2789135 10.1023/A:1026583903046 10.1115/1.2777164 10.1016/j.asej.2015.10.010 10.1016/j.ijthermalsci.2012.05.005 10.1007/s10999-014-9265-y 10.1080/01495730801912397 10.1002/nme.1620100602 10.1016/j.apm.2017.01.005 10.1098/rsif.2008.0092 10.1155/1994/329231 10.1007/s00707-008-0136-1 10.1016/j.jare.2017.06.009 10.1080/01495739608946172 10.1016/j.compositesa.2005.11.001 |
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| Keywords | Thermal stress Quadrilateral elements Incompatible elements Functionally graded material Grade finite elements Thermal Stress |
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functionally graded materials publication-title: Int J Mech Mater Des doi: 10.1007/s10999-014-9265-y contributor: fullname: Martínez-Pañeda – volume: 31 start-page: 368 issue: 4 year: 2008 ident: 10.1016/j.compstruct.2019.110909_b0065 article-title: Mechanical behavior of rectangular plates with functionally graded coefficient of thermal expansion subjected to thermal loading publication-title: J Therm Stress doi: 10.1080/01495730801912397 contributor: fullname: Chung – volume: 2003 start-page: 157 year: 2003 ident: 10.1016/j.compstruct.2019.110909_b0035 article-title: Application of graded finite elements for asphalt pavement analysis publication-title: Comput Fluid Solid Mech contributor: fullname: Buttlar – volume: 10 start-page: 1211 year: 1976 ident: 10.1016/j.compstruct.2019.110909_b0015 article-title: A non-conforming element for stress analysis publication-title: Int J Numer Meth Eng doi: 10.1002/nme.1620100602 contributor: fullname: Taylor – volume: 45 start-page: 422 year: 2017 ident: 10.1016/j.compstruct.2019.110909_b0110 article-title: Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements publication-title: Appl Math Model doi: 10.1016/j.apm.2017.01.005 contributor: fullname: Burlayenko – start-page: 43 year: 1973 ident: 10.1016/j.compstruct.2019.110909_b0010 article-title: Incompatible displacement models contributor: fullname: Wilson – volume: 5 start-page: 1459 issue: 29 year: 2008 ident: 10.1016/j.compstruct.2019.110909_b0040 article-title: Novel preparation of graded porous structures for medical engineering publication-title: J R Soc Interface doi: 10.1098/rsif.2008.0092 contributor: fullname: Muthutantri – volume: 1 start-page: 303 issue: 4 year: 1994 ident: 10.1016/j.compstruct.2019.110909_b0130 article-title: Two visually meaningful correlation measures for comparing calculated and measured response histories publication-title: Shock Vib doi: 10.1155/1994/329231 contributor: fullname: Whang – volume: 208 start-page: 147 issue: 3–4 year: 2009 ident: 10.1016/j.compstruct.2019.110909_b0050 article-title: Reduction of thermal stresses by composition optimization of two-dimensional functionally graded materials publication-title: Acta Mech doi: 10.1007/s00707-008-0136-1 contributor: fullname: Nemat-Alla – volume: 8 start-page: 635 issue: 6 year: 2017 ident: 10.1016/j.compstruct.2019.110909_b0020 article-title: A comparison between different finite elements for elastic and aero-elastic analyses publication-title: J Adv Res doi: 10.1016/j.jare.2017.06.009 contributor: fullname: Mahran – year: 1996 ident: 10.1016/j.compstruct.2019.110909_b0070 article-title: Crack problems in fgm layers under thermal stresses publication-title: J Therm Stress doi: 10.1080/01495739608946172 contributor: fullname: Erdogan – ident: 10.1016/j.compstruct.2019.110909_b0105 – start-page: 185 year: 1997 ident: 10.1016/j.compstruct.2019.110909_b0145 article-title: Error measures for comparing transient data: part ii: error measures case study contributor: fullname: Russell – year: 2001 ident: 10.1016/j.compstruct.2019.110909_b0005 contributor: fullname: Robert – volume: 37 start-page: 1568 issue: 10 year: 2006 ident: 10.1016/j.compstruct.2019.110909_b0055 article-title: Optimum material composition design for thermal stress reduction in FGM lathe bit publication-title: Compos Part A Appl Sci Manuf doi: 10.1016/j.compositesa.2005.11.001 contributor: fullname: Cho – start-page: 121 year: 1998 ident: 10.1016/j.compstruct.2019.110909_b0125 article-title: Verification and validation of simulation models contributor: fullname: Sargent |
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| Snippet | Functionally graded materials have found a wide usage in high temperature applications. The smooth transition from one material to another, in graded... |
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| SubjectTerms | Functionally graded material Grade finite elements Incompatible elements Quadrilateral elements Thermal stress |
| Title | Accurate and efficient thermal stress analyses of functionally graded solids using incompatible graded finite elements |
| URI | https://dx.doi.org/10.1016/j.compstruct.2019.110909 https://www.ncbi.nlm.nih.gov/pubmed/32189823 https://search.proquest.com/docview/2379017972 https://pubmed.ncbi.nlm.nih.gov/PMC7079281 |
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