دورية أكاديمية
Static and Dynamic Green's Functions in Peridynamics (vol 126, pg 95, 2016)
| العنوان: | Static and Dynamic Green's Functions in Peridynamics (vol 126, pg 95, 2016) |
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| المؤلفون: | Wang, Linjuan, Xu, Jifeng, Wang, Jianxiang |
| المساهمون: | Wang, JX (reprint author), Peking Univ, Dept Mech & Engn Sci, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China., Wang, JX (reprint author), Peking Univ, CAPT, HEDPS, Beijing 100871, Peoples R China., Wang, JX (reprint author), Peking Univ, IFSA Collaborat Innovat Ctr, MoE, Beijing 100871, Peoples R China., Peking Univ, Dept Mech & Engn Sci, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China., Beijing Aeronaut Sci & Technol Res Inst, Beijing 100083, Peoples R China., Peking Univ, CAPT, HEDPS, Beijing 100871, Peoples R China., Peking Univ, IFSA Collaborat Innovat Ctr, MoE, Beijing 100871, Peoples R China. |
| المصدر: | SCI |
| بيانات النشر: | JOURNAL OF ELASTICITY |
| سنة النشر: | 2017 |
| المجموعة: | Peking University Institutional Repository (PKU IR) / 北京大学机构知识库 |
| مصطلحات موضوعية: | Green's function, Peridynamics, Nonlocality, Integro-differential equation, NONLOCAL VECTOR CALCULUS, LONG-RANGE FORCES, LINEAR ELASTICITY, COMPOSITE, DAMAGE, APPROXIMATION, DIFFUSION, EQUATION, MODEL, BAR |
| الوصف: | We derive the static and dynamic Green's functions for one-, two- and three-dimensional infinite domains within the formalism of peridynamics, making use of Fourier transforms and Laplace transforms. Noting that the one-dimensional and three-dimensional cases have been previously studied by other researchers, in this paper, we develop a method to obtain convergent solutions from the divergent integrals, so that the Green's functions can be uniformly expressed as conventional solutions plus Dirac functions, and convergent nonlocal integrals. Thus, the Green's functions for the two-dimensional domain are newly obtained, and those for the one and three dimensions are expressed in forms different from the previous expressions in the literature. We also prove that the peridynamic Green's functions always degenerate into the corresponding classical counterparts of linear elasticity as the nonlocal length tends to zero. The static solutions for a single point load and the dynamic solutions for a time-dependent point load are analyzed. It is analytically shown that for static loading, the nonlocal effect is limited to the neighborhood of the loading point, and the displacement field far away from the loading point approaches the classical solution. For dynamic loading, due to peridynamic nonlinear dispersion relations, the propagation of waves given by the peridynamic solutions is dispersive. The Green's functions may be used to solve other more complicated problems, and applied to systems that have long-range interactions between material points. ; SCI(E) ; CORRECTION ; 1 ; 95-127 ; 126 |
| نوع الوثيقة: | journal/newspaper |
| اللغة: | English |
| ردمك: | 978-0-00-390026-2 0-00-390026-6 |
| تدمد: | 0374-3535 1573-2681 |
| العلاقة: | JOURNAL OF ELASTICITY.2017,126(1),95-127.; 1911271; http://hdl.handle.net/20.500.11897/476526Test; WOS:000390026600005 |
| DOI: | 10.1007/s10659-016-9602-5 |
| الإتاحة: | https://doi.org/20.500.11897/476526Test https://doi.org/10.1007/s10659-016-9602-5Test https://hdl.handle.net/20.500.11897/476526Test |
| رقم الانضمام: | edsbas.A6A4C67B |
| قاعدة البيانات: | BASE |
| ردمك: | 9780003900262 0003900266 |
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| تدمد: | 03743535 15732681 |
| DOI: | 10.1007/s10659-016-9602-5 |