A wave front approximation method and its application to elastic stress waves
This paper presents a new direct method of obtaining wave front approximations for problems involving hyperbolic differential equations. In the problem of a semi-infinite, end-loaded elastic strip (the problem used to illustrate the method), asymptotic solutions are obtained for wave fronts prior to...
| id |
ndltd-CALTECH-oai-thesis.library.caltech.edu-180 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-CALTECH-oai-thesis.library.caltech.edu-1802019-12-22T03:05:36Z A wave front approximation method and its application to elastic stress waves Jakub, Marlyn T. This paper presents a new direct method of obtaining wave front approximations for problems involving hyperbolic differential equations. In the problem of a semi-infinite, end-loaded elastic strip (the problem used to illustrate the method), asymptotic solutions are obtained for wave fronts prior to multiple edge interactions. For the special end loading of a step velocity, the results agree with prior results obtained by more complex methods of approximation. Extension of the method to multiple interactions and to other problems of stress wave propagation is briefly discussed. 1965 Thesis NonPeerReviewed application/pdf https://thesis.library.caltech.edu/180/1/Jakub_mt_1965.pdf https://resolver.caltech.edu/CaltechETD:etd-01152003-152904 Jakub, Marlyn T. (1965) A wave front approximation method and its application to elastic stress waves. Engineer's thesis, California Institute of Technology. doi:10.7907/Y9EG-XT74. https://resolver.caltech.edu/CaltechETD:etd-01152003-152904 <https://resolver.caltech.edu/CaltechETD:etd-01152003-152904> https://thesis.library.caltech.edu/180/ |
| collection |
NDLTD |
| format |
Others
|
| sources |
NDLTD |
| description |
This paper presents a new direct method of obtaining wave front approximations for problems involving hyperbolic differential equations. In the problem of a semi-infinite, end-loaded elastic strip (the problem used to illustrate the method), asymptotic solutions are obtained for wave fronts prior to multiple edge interactions. For the special end loading of a step velocity, the results agree with prior results obtained by more complex methods of approximation. Extension of the method to multiple interactions and to other problems of stress wave propagation is briefly discussed. |
| author |
Jakub, Marlyn T. |
| spellingShingle |
Jakub, Marlyn T. A wave front approximation method and its application to elastic stress waves |
| author_facet |
Jakub, Marlyn T. |
| author_sort |
Jakub, Marlyn T. |
| title |
A wave front approximation method and its application to elastic stress waves |
| title_short |
A wave front approximation method and its application to elastic stress waves |
| title_full |
A wave front approximation method and its application to elastic stress waves |
| title_fullStr |
A wave front approximation method and its application to elastic stress waves |
| title_full_unstemmed |
A wave front approximation method and its application to elastic stress waves |
| title_sort |
wave front approximation method and its application to elastic stress waves |
| publishDate |
1965 |
| url |
https://thesis.library.caltech.edu/180/1/Jakub_mt_1965.pdf Jakub, Marlyn T. (1965) A wave front approximation method and its application to elastic stress waves. Engineer's thesis, California Institute of Technology. doi:10.7907/Y9EG-XT74. https://resolver.caltech.edu/CaltechETD:etd-01152003-152904 <https://resolver.caltech.edu/CaltechETD:etd-01152003-152904> |
| work_keys_str_mv |
AT jakubmarlynt awavefrontapproximationmethodanditsapplicationtoelasticstresswaves AT jakubmarlynt wavefrontapproximationmethodanditsapplicationtoelasticstresswaves |
| _version_ |
1719304279202725888 |