Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material
A new three-dimensional (3D) boundary element method (BEM) strategy was developed to solve fractional-order thermo-elastoplastic ultrasonic wave propagation problems based on the meshless moving least squares (MLS) method. The temperature problem domain was divided into a number of circular sub-doma...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/14/14/2883 |
| _version_ | 1797444142708555776 |
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| author | Mohamed Abdelsabour Fahmy |
| author_facet | Mohamed Abdelsabour Fahmy |
| author_sort | Mohamed Abdelsabour Fahmy |
| collection | DOAJ |
| description | A new three-dimensional (3D) boundary element method (BEM) strategy was developed to solve fractional-order thermo-elastoplastic ultrasonic wave propagation problems based on the meshless moving least squares (MLS) method. The temperature problem domain was divided into a number of circular sub-domains. Each node was the center of the circular sub-domain surrounding it. The Laplace transform method was used to solve the temperature problem. A unit test function was used in the local weak-form formulation to generate the local boundary integral equations, and the inverse Laplace transformation method was used to find the transient temperature solutions. Then, the three-dimensional elastoplastic problems could be solved using the boundary element method (BEM). Initial stress and strain formulations are adopted, and their distributions are interpolated using boundary integral equations. The effects of the fractional-order parameter and anisotropy are investigated. The proposed method’s validity and performance are demonstrated for a two-dimensional problem with excellent agreement with other experimental and numerical results. |
| first_indexed | 2024-03-09T13:08:19Z |
| format | Article |
| id | doaj.art-15a836b007fc4531bffd716556a716db |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-09T13:08:19Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-15a836b007fc4531bffd716556a716db2023-11-30T21:45:05ZengMDPI AGPolymers2073-43602022-07-011414288310.3390/polym14142883Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite MaterialMohamed Abdelsabour Fahmy0Adham University College, Umm Al-Qura University, Makkah 28653, Saudi ArabiaA new three-dimensional (3D) boundary element method (BEM) strategy was developed to solve fractional-order thermo-elastoplastic ultrasonic wave propagation problems based on the meshless moving least squares (MLS) method. The temperature problem domain was divided into a number of circular sub-domains. Each node was the center of the circular sub-domain surrounding it. The Laplace transform method was used to solve the temperature problem. A unit test function was used in the local weak-form formulation to generate the local boundary integral equations, and the inverse Laplace transformation method was used to find the transient temperature solutions. Then, the three-dimensional elastoplastic problems could be solved using the boundary element method (BEM). Initial stress and strain formulations are adopted, and their distributions are interpolated using boundary integral equations. The effects of the fractional-order parameter and anisotropy are investigated. The proposed method’s validity and performance are demonstrated for a two-dimensional problem with excellent agreement with other experimental and numerical results.https://www.mdpi.com/2073-4360/14/14/2883boundary element methodstress sensitivityfractional-order thermo-elastoplasticultrasonic wave propagation problemsfiber-reinforced polymer composite materials |
| spellingShingle | Mohamed Abdelsabour Fahmy Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material Polymers boundary element method stress sensitivity fractional-order thermo-elastoplastic ultrasonic wave propagation problems fiber-reinforced polymer composite materials |
| title | Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material |
| title_full | Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material |
| title_fullStr | Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material |
| title_full_unstemmed | Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material |
| title_short | Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material |
| title_sort | three dimensional boundary element strategy for stress sensitivity of fractional order thermo elastoplastic ultrasonic wave propagation problems of anisotropic fiber reinforced polymer composite material |
| topic | boundary element method stress sensitivity fractional-order thermo-elastoplastic ultrasonic wave propagation problems fiber-reinforced polymer composite materials |
| url | https://www.mdpi.com/2073-4360/14/14/2883 |
| work_keys_str_mv | AT mohamedabdelsabourfahmy threedimensionalboundaryelementstrategyforstresssensitivityoffractionalorderthermoelastoplasticultrasonicwavepropagationproblemsofanisotropicfiberreinforcedpolymercompositematerial |