Finite Element Method on Shape Memory Alloy Structure and Its Applications
Abstract It is significant to numerically investigate thermo-mechanical behaviors of shape memory alloy (SMA) structures undergoing large and uneven deformation for they are used in many engineering fields to meet special requirements. To solve the problems of convergence in the numerical simulation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Chinese Journal of Mechanical Engineering |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s10033-019-0401-3 |
| _version_ | 1818389843576619008 |
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| author | Bo Zhou Zetian Kang Zhiyong Wang Shifeng Xue |
| author_facet | Bo Zhou Zetian Kang Zhiyong Wang Shifeng Xue |
| author_sort | Bo Zhou |
| collection | DOAJ |
| description | Abstract It is significant to numerically investigate thermo-mechanical behaviors of shape memory alloy (SMA) structures undergoing large and uneven deformation for they are used in many engineering fields to meet special requirements. To solve the problems of convergence in the numerical simulation on thermo-mechanical behaviors of SMA structures by universal finite element software. This work suppose a finite element method to simulate the super-elasticity and shape memory effect in the SMA structure undergoing large and uneven deformation. Two scalars, named by phase-transition modulus and equivalent stiffness, are defined to make it easy to establish and implement the finite element method for a SMA structure. An incremental constitutive equation is developed to formulate the relationship of stress, strain and temperature in a SMA material based on phase-transition modulus and equivalent stiffness. A phase-transition modulus equation is derived to describe the relationship of phase-transition modulus, stress and temperature in a SMA material during the processes of martensitic phase transition and martensitic inverse phase transition. A finite element equation is established to express the incremental relationship of nodal displacement, external force and temperature change in a finite element discrete structure of SMA. The incremental constitutive equation, phase-transition modulus equation and finite element equation compose the supposed finite element method which simulate the thermo-mechanical behaviors of a SMA structure. Two SMA structures, which undergo large and uneven deformation, are numerically simulated by the supposed finite element method. Results of numerical simulation show that the supposed finite element method can effectively simulate the super-elasticity and shape memory effect of a SMA structure undergoing large and uneven deformation, and is suitable to act as an effective computational tool for the wide applications based on the SMA materials. |
| first_indexed | 2024-12-14T04:48:11Z |
| format | Article |
| id | doaj.art-b65975047601426c83e427131a3f4ebf |
| institution | Directory Open Access Journal |
| issn | 1000-9345 2192-8258 |
| language | English |
| last_indexed | 2024-12-14T04:48:11Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Chinese Journal of Mechanical Engineering |
| spelling | doaj.art-b65975047601426c83e427131a3f4ebf2022-12-21T23:16:36ZengSpringerOpenChinese Journal of Mechanical Engineering1000-93452192-82582019-10-0132111110.1186/s10033-019-0401-3Finite Element Method on Shape Memory Alloy Structure and Its ApplicationsBo Zhou0Zetian Kang1Zhiyong Wang2Shifeng Xue3College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)Abstract It is significant to numerically investigate thermo-mechanical behaviors of shape memory alloy (SMA) structures undergoing large and uneven deformation for they are used in many engineering fields to meet special requirements. To solve the problems of convergence in the numerical simulation on thermo-mechanical behaviors of SMA structures by universal finite element software. This work suppose a finite element method to simulate the super-elasticity and shape memory effect in the SMA structure undergoing large and uneven deformation. Two scalars, named by phase-transition modulus and equivalent stiffness, are defined to make it easy to establish and implement the finite element method for a SMA structure. An incremental constitutive equation is developed to formulate the relationship of stress, strain and temperature in a SMA material based on phase-transition modulus and equivalent stiffness. A phase-transition modulus equation is derived to describe the relationship of phase-transition modulus, stress and temperature in a SMA material during the processes of martensitic phase transition and martensitic inverse phase transition. A finite element equation is established to express the incremental relationship of nodal displacement, external force and temperature change in a finite element discrete structure of SMA. The incremental constitutive equation, phase-transition modulus equation and finite element equation compose the supposed finite element method which simulate the thermo-mechanical behaviors of a SMA structure. Two SMA structures, which undergo large and uneven deformation, are numerically simulated by the supposed finite element method. Results of numerical simulation show that the supposed finite element method can effectively simulate the super-elasticity and shape memory effect of a SMA structure undergoing large and uneven deformation, and is suitable to act as an effective computational tool for the wide applications based on the SMA materials.http://link.springer.com/article/10.1186/s10033-019-0401-3Shape memory alloyIncremental constitutive equationFinite element equationPhase-transition modulusApplications |
| spellingShingle | Bo Zhou Zetian Kang Zhiyong Wang Shifeng Xue Finite Element Method on Shape Memory Alloy Structure and Its Applications Chinese Journal of Mechanical Engineering Shape memory alloy Incremental constitutive equation Finite element equation Phase-transition modulus Applications |
| title | Finite Element Method on Shape Memory Alloy Structure and Its Applications |
| title_full | Finite Element Method on Shape Memory Alloy Structure and Its Applications |
| title_fullStr | Finite Element Method on Shape Memory Alloy Structure and Its Applications |
| title_full_unstemmed | Finite Element Method on Shape Memory Alloy Structure and Its Applications |
| title_short | Finite Element Method on Shape Memory Alloy Structure and Its Applications |
| title_sort | finite element method on shape memory alloy structure and its applications |
| topic | Shape memory alloy Incremental constitutive equation Finite element equation Phase-transition modulus Applications |
| url | http://link.springer.com/article/10.1186/s10033-019-0401-3 |
| work_keys_str_mv | AT bozhou finiteelementmethodonshapememoryalloystructureanditsapplications AT zetiankang finiteelementmethodonshapememoryalloystructureanditsapplications AT zhiyongwang finiteelementmethodonshapememoryalloystructureanditsapplications AT shifengxue finiteelementmethodonshapememoryalloystructureanditsapplications |