Finite element implementation for computer-aided education of structural mechanics: Mohr's circle and its practical use
This article introduces a computer program for computer‐aided education about Mohr's circle and its practical use. The instructional tool has been implemented as part of a finite element analysis program, VisualFEA. The proposed approach to teaching and learning Mohr's circle is distinguis...
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| Published in | Computer applications in engineering education Vol. 22; no. 3; pp. 494 - 508 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Blackwell Publishing Ltd
01.09.2014
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| Abstract | This article introduces a computer program for computer‐aided education about Mohr's circle and its practical use. The instructional tool has been implemented as part of a finite element analysis program, VisualFEA. The proposed approach to teaching and learning Mohr's circle is distinguished from previous work by its association with practical analysis models. The Mohr's circle is displayed and operated on the basis of stress data obtained from finite element analysis whereas arbitrarily assumed numerical values are used in other programs. The analysis can be extended to elasto‐plastic models with various yield criteria. Thus, the program can be regarded not only as an instructional module for studying Mohr's circle itself, but also as a training tool for exercising its practical application. This article describes the characteristics of the program's educational features and suggests important points for teaching and learning Mohr's circle and related subjects using VisualFEA. © 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:494–508, 2014; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.10.1002/cae.20575 |
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| AbstractList | This article introduces a computer program for computer-aided education about Mohr's circle and its practical use. The instructional tool has been implemented as part of a finite element analysis program, VisualFEA. The proposed approach to teaching and learning Mohr's circle is distinguished from previous work by its association with practical analysis models. The Mohr's circle is displayed and operated on the basis of stress data obtained from finite element analysis whereas arbitrarily assumed numerical values are used in other programs. The analysis can be extended to elasto-plastic models with various yield criteria. Thus, the program can be regarded not only as an instructional module for studying Mohr's circle itself, but also as a training tool for exercising its practical application. This article describes the characteristics of the program's educational features and suggests important points for teaching and learning Mohr's circle and related subjects using VisualFEA. copyright 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:494-508, 2014; View this article online at wileyonlinelibrary.com/journal/cae ; DOI This article introduces a computer program for computer‐aided education about Mohr's circle and its practical use. The instructional tool has been implemented as part of a finite element analysis program, VisualFEA. The proposed approach to teaching and learning Mohr's circle is distinguished from previous work by its association with practical analysis models. The Mohr's circle is displayed and operated on the basis of stress data obtained from finite element analysis whereas arbitrarily assumed numerical values are used in other programs. The analysis can be extended to elasto‐plastic models with various yield criteria. Thus, the program can be regarded not only as an instructional module for studying Mohr's circle itself, but also as a training tool for exercising its practical application. This article describes the characteristics of the program's educational features and suggests important points for teaching and learning Mohr's circle and related subjects using VisualFEA. © 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:494–508, 2014; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.10.1002/cae.20575 |
| Author | Park, Young Taek Lee, Jae Young Ryu, Hee Ryong |
| Author_xml | – sequence: 1 givenname: Jae Young surname: Lee fullname: Lee, Jae Young email: jylee@chonbuk.ac.kr organization: Department of Regional Construction Engineering, Chonbuk National University, 561-756, Jeonju, South Korea – sequence: 2 givenname: Hee Ryong surname: Ryu fullname: Ryu, Hee Ryong organization: Rural Development Administration, Busan, South Korea – sequence: 3 givenname: Young Taek surname: Park fullname: Park, Young Taek organization: Korea Institute of Construction Technology, Gyeonggi-do, Goyang, South Korea |
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| Cites_doi | 10.1002/cae.20563 10.1002/cae.20053 10.1002/cae.10037 10.7227/IJMEE.29.1.6 10.1002/cae.20135 10.1002/cae.20180 10.1016/j.finel.2010.12.017 10.1061/AJGEB6.0001029 10.1002/cae.20065 |
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| References | J. Y. Lee, Development of a computer-based training system for finite element method, J Comput Struct Eng Inst Korea 12 (1999), 607-618. J. Y. Lee and S. Y. Ahn, Finite element implementation for computer-aided education of structural mechanics: Frame analysis, Comput Appl Eng Educ, Published online in Wiley Online Library, DOI: 10.1002/cae.20563. S. A. Smith, Microcomputer-aided teaching of Mohr's circle, Int J Appl Eng Educ 2 (1986), 91-101. Y. Jiang and C. Wong, On teaching finite element method in plasticity with mathematica, Comput Appl Eng Educ 16 (2008), 233-242. K. Biggar and S. Mašala, The geotechnical virtual laboratory. II. Consolidation, Comput Appl Eng Educ 13 (2005), 280-292. J. Moller and A. Mokaddem, A tool for learning Mohr's circle, Int J Mech Eng Educ 29 (2001), 53-72. M. P. Rossow, An interactive program for teaching stress transformation with Mohr's circle, Comput Educ J 6 (1996), 42-46. T. A. Philpot, R. H. Hall, N. Hubing, R. Flori, D. B. Oglesby, and Y. Vikas, Animated Instructional Media for stress transformations in a mechanics of material course, Comput Appl Eng Educ 11 (2003), 40-52. J. Y. Lee, VisualFEA user's manual, Intuition Software, Jeonju, Korea, 2006, p 503. J. Y. Lee and S. Y. Ahn, Interactive visualization of elasto-plastic behavior through stress paths and yield surfaces in finite element analysis, Finite Elem Anal Des 47 (2011), 496-510, DOI: 10.1016/j.finel.2010.12.017. E. Hoek and E. T. Brown, Empirical strength criterion for rock masses, J Geotech Eng Div 106 (1980), 1013-1035. T. A. Philpot and R. H. Hall, Animated Instructional Media for stress transformations in a mechanics of materials: Implementation and assessment, Comput Appl Eng Educ 14 (2006), 31-43. W. P. Lee, C. H. Chiu, C. L. Hwan, and J. Ma, Digital simulation of the transformation of plane stress, Comput Appl Eng Educ 17 (2009), 25-33. J. Y. Lee, VisualFEA/CBT, computer-based training of finite element method(CD), John Wiley and Son, New York, 2002. 1980; 106 1986; 2 2006; 14 2008; 16 1999; 12 2006 2001; 29 2002 2011; 47 1996; 6 2003; 11 2005; 13 2009; 17 e_1_2_7_6_1 Lee J. Y. (e_1_2_7_8_1) 2006 e_1_2_7_5_1 e_1_2_7_4_1 e_1_2_7_7_1 Lee J. Y. (e_1_2_7_9_1) 2002 Smith S. A. (e_1_2_7_2_1) 1986; 2 e_1_2_7_16_1 e_1_2_7_15_1 e_1_2_7_14_1 e_1_2_7_13_1 e_1_2_7_11_1 e_1_2_7_10_1 Lee J. Y. (e_1_2_7_12_1) 1999; 12 Rossow M. P. (e_1_2_7_3_1) 1996; 6 |
| References_xml | – reference: Y. Jiang and C. Wong, On teaching finite element method in plasticity with mathematica, Comput Appl Eng Educ 16 (2008), 233-242. – reference: S. A. Smith, Microcomputer-aided teaching of Mohr's circle, Int J Appl Eng Educ 2 (1986), 91-101. – reference: J. Moller and A. Mokaddem, A tool for learning Mohr's circle, Int J Mech Eng Educ 29 (2001), 53-72. – reference: T. A. Philpot, R. H. Hall, N. Hubing, R. Flori, D. B. Oglesby, and Y. Vikas, Animated Instructional Media for stress transformations in a mechanics of material course, Comput Appl Eng Educ 11 (2003), 40-52. – reference: M. P. Rossow, An interactive program for teaching stress transformation with Mohr's circle, Comput Educ J 6 (1996), 42-46. – reference: J. Y. Lee, Development of a computer-based training system for finite element method, J Comput Struct Eng Inst Korea 12 (1999), 607-618. – reference: K. Biggar and S. Mašala, The geotechnical virtual laboratory. II. Consolidation, Comput Appl Eng Educ 13 (2005), 280-292. – reference: J. Y. Lee and S. Y. Ahn, Interactive visualization of elasto-plastic behavior through stress paths and yield surfaces in finite element analysis, Finite Elem Anal Des 47 (2011), 496-510, DOI: 10.1016/j.finel.2010.12.017. – reference: J. Y. Lee, VisualFEA/CBT, computer-based training of finite element method(CD), John Wiley and Son, New York, 2002. – reference: J. Y. Lee and S. Y. Ahn, Finite element implementation for computer-aided education of structural mechanics: Frame analysis, Comput Appl Eng Educ, Published online in Wiley Online Library, DOI: 10.1002/cae.20563. – reference: W. P. Lee, C. H. Chiu, C. L. Hwan, and J. Ma, Digital simulation of the transformation of plane stress, Comput Appl Eng Educ 17 (2009), 25-33. – reference: J. Y. Lee, VisualFEA user's manual, Intuition Software, Jeonju, Korea, 2006, p 503. – reference: E. Hoek and E. T. Brown, Empirical strength criterion for rock masses, J Geotech Eng Div 106 (1980), 1013-1035. – reference: T. A. Philpot and R. H. Hall, Animated Instructional Media for stress transformations in a mechanics of materials: Implementation and assessment, Comput Appl Eng Educ 14 (2006), 31-43. – volume: 2 start-page: 91 year: 1986 end-page: 101 article-title: Microcomputer‐aided teaching of Mohr's circle publication-title: Int J Appl Eng Educ – volume: 6 start-page: 42 year: 1996 end-page: 46 article-title: An interactive program for teaching stress transformation with Mohr's circle publication-title: Comput Educ J – volume: 29 start-page: 53 year: 2001 end-page: 72 article-title: A tool for learning Mohr's circle publication-title: Int J Mech Eng Educ – volume: 16 start-page: 233 year: 2008 end-page: 242 article-title: On teaching finite element method in plasticity with mathematica publication-title: Comput Appl Eng Educ – volume: 47 start-page: 496 year: 2011 end-page: 510 article-title: Interactive visualization of elasto‐plastic behavior through stress paths and yield surfaces in finite element analysis publication-title: Finite Elem Anal Des – year: 2002 – volume: 17 start-page: 25 year: 2009 end-page: 33 article-title: Digital simulation of the transformation of plane stress publication-title: Comput Appl Eng Educ – volume: 11 start-page: 40 year: 2003 end-page: 52 article-title: Animated Instructional Media for stress transformations in a mechanics of material course publication-title: Comput Appl Eng Educ – volume: 13 start-page: 280 year: 2005 end-page: 292 article-title: The geotechnical virtual laboratory. II. Consolidation publication-title: Comput Appl Eng Educ – volume: 14 start-page: 31 year: 2006 end-page: 43 article-title: Animated Instructional Media for stress transformations in a mechanics of materials: Implementation and assessment publication-title: Comput Appl Eng Educ – article-title: Finite element implementation for computer‐aided education of structural mechanics: Frame analysis publication-title: Comput Appl Eng Educ – start-page: 503 year: 2006 – volume: 106 start-page: 1013 year: 1980 end-page: 1035 article-title: Empirical strength criterion for rock masses publication-title: J Geotech Eng Div – volume: 12 start-page: 607 year: 1999 end-page: 618 article-title: Development of a computer‐based training system for finite element method publication-title: J Comput Struct Eng Inst Korea – volume-title: VisualFEA/CBT, computer‐based training of finite element method(CD) year: 2002 ident: e_1_2_7_9_1 – ident: e_1_2_7_11_1 doi: 10.1002/cae.20563 – ident: e_1_2_7_10_1 – ident: e_1_2_7_15_1 doi: 10.1002/cae.20053 – ident: e_1_2_7_4_1 doi: 10.1002/cae.10037 – start-page: 503 volume-title: VisualFEA user's manual year: 2006 ident: e_1_2_7_8_1 – ident: e_1_2_7_7_1 doi: 10.7227/IJMEE.29.1.6 – ident: e_1_2_7_14_1 doi: 10.1002/cae.20135 – ident: e_1_2_7_6_1 doi: 10.1002/cae.20180 – volume: 12 start-page: 607 year: 1999 ident: e_1_2_7_12_1 article-title: Development of a computer‐based training system for finite element method publication-title: J Comput Struct Eng Inst Korea – volume: 2 start-page: 91 year: 1986 ident: e_1_2_7_2_1 article-title: Microcomputer‐aided teaching of Mohr's circle publication-title: Int J Appl Eng Educ – ident: e_1_2_7_13_1 doi: 10.1016/j.finel.2010.12.017 – ident: e_1_2_7_16_1 doi: 10.1061/AJGEB6.0001029 – ident: e_1_2_7_5_1 doi: 10.1002/cae.20065 – volume: 6 start-page: 42 year: 1996 ident: e_1_2_7_3_1 article-title: An interactive program for teaching stress transformation with Mohr's circle publication-title: Comput Educ J |
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| SubjectTerms | Computer programs Education elasto-plastic analysis failure envelope finite element analysis Finite element method Learning Mathematical analysis Mathematical models Mohr's circle stress transformation Teaching |
| Title | Finite element implementation for computer-aided education of structural mechanics: Mohr's circle and its practical use |
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