Research on Laplace transform of stress wave propagation relaxation function in multi-layer media
There are some difficulties in solving the theory of stress wave propagation in multi-layer media. To solve the problem of stress wave propagation in multi-layer media under the impact load, this paper theoretically makes further derivation and discussion based on viscoelastic analogy method. To fur...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-07-01
|
| Series: | Case Studies in Construction Materials |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214509523002838 |
| _version_ | 1797798881437679616 |
|---|---|
| author | Dai-lin Li Jia-jian Lin Guo-dong Shi Jun-liang Zhang Hong Li Xin Zhang |
| author_facet | Dai-lin Li Jia-jian Lin Guo-dong Shi Jun-liang Zhang Hong Li Xin Zhang |
| author_sort | Dai-lin Li |
| collection | DOAJ |
| description | There are some difficulties in solving the theory of stress wave propagation in multi-layer media. To solve the problem of stress wave propagation in multi-layer media under the impact load, this paper theoretically makes further derivation and discussion based on viscoelastic analogy method. To further verify the feasibility of the theoretical solution, LS-DYNA is used to simulate the three-layer medium. The simulation results show that comparing the peak stress obtained from the numerical inversion of the Laplace function after the Laplace transform with the simulation results, the maximum error of the peak stress is about 9.5%, and the minimum error is about 1.7%. The results show that the theoretical solution agree with the simulation results, and the theoretical solution has specific feasibility. The theoretical solution method deduced in this paper further develops the viscoelastic analogy method, which has a specific reference value for the rapid calculation of the stress wave propagation law in multi-layer media. |
| first_indexed | 2024-03-13T04:11:35Z |
| format | Article |
| id | doaj.art-7fb565933061471d963c40bce06d12ae |
| institution | Directory Open Access Journal |
| issn | 2214-5095 |
| language | English |
| last_indexed | 2024-03-13T04:11:35Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Construction Materials |
| spelling | doaj.art-7fb565933061471d963c40bce06d12ae2023-06-21T06:54:30ZengElsevierCase Studies in Construction Materials2214-50952023-07-0118e02103Research on Laplace transform of stress wave propagation relaxation function in multi-layer mediaDai-lin Li0Jia-jian Lin1Guo-dong Shi2Jun-liang Zhang3Hong Li4Xin Zhang5School of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR China; Hefei Comprehensive National Science Center, Hefei 230601, PR China; Corresponding author at: School of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR China.School of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR China; School of Civil Engineering, Anhui Jianzhu University, HeFei 230601, PR ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR China; Hefei Comprehensive National Science Center, Hefei 230601, PR ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, PR ChinaThere are some difficulties in solving the theory of stress wave propagation in multi-layer media. To solve the problem of stress wave propagation in multi-layer media under the impact load, this paper theoretically makes further derivation and discussion based on viscoelastic analogy method. To further verify the feasibility of the theoretical solution, LS-DYNA is used to simulate the three-layer medium. The simulation results show that comparing the peak stress obtained from the numerical inversion of the Laplace function after the Laplace transform with the simulation results, the maximum error of the peak stress is about 9.5%, and the minimum error is about 1.7%. The results show that the theoretical solution agree with the simulation results, and the theoretical solution has specific feasibility. The theoretical solution method deduced in this paper further develops the viscoelastic analogy method, which has a specific reference value for the rapid calculation of the stress wave propagation law in multi-layer media.http://www.sciencedirect.com/science/article/pii/S2214509523002838Multi-layerViscoelastic analogy methodRelaxation functionLaplace transformSHPB |
| spellingShingle | Dai-lin Li Jia-jian Lin Guo-dong Shi Jun-liang Zhang Hong Li Xin Zhang Research on Laplace transform of stress wave propagation relaxation function in multi-layer media Case Studies in Construction Materials Multi-layer Viscoelastic analogy method Relaxation function Laplace transform SHPB |
| title | Research on Laplace transform of stress wave propagation relaxation function in multi-layer media |
| title_full | Research on Laplace transform of stress wave propagation relaxation function in multi-layer media |
| title_fullStr | Research on Laplace transform of stress wave propagation relaxation function in multi-layer media |
| title_full_unstemmed | Research on Laplace transform of stress wave propagation relaxation function in multi-layer media |
| title_short | Research on Laplace transform of stress wave propagation relaxation function in multi-layer media |
| title_sort | research on laplace transform of stress wave propagation relaxation function in multi layer media |
| topic | Multi-layer Viscoelastic analogy method Relaxation function Laplace transform SHPB |
| url | http://www.sciencedirect.com/science/article/pii/S2214509523002838 |
| work_keys_str_mv | AT dailinli researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia AT jiajianlin researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia AT guodongshi researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia AT junliangzhang researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia AT hongli researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia AT xinzhang researchonlaplacetransformofstresswavepropagationrelaxationfunctioninmultilayermedia |