التفاصيل البيبلوغرافية
| العنوان: |
A non-local method in peridynamic theory for simulating elastic wave propagation in solids. |
| المؤلفون: |
Ma, Xiaochuan1,2 (AUTHOR) rw.ma@ecjtu.edu.cn, Feng, Qingsong1 (AUTHOR), Liu, Linya1 (AUTHOR), Xu, Jinhui1 (AUTHOR), Zhang, Pengfei1 (AUTHOR), Chen, Huapeng1 (AUTHOR) |
| المصدر: |
Applied Mathematical Modelling. Mar2022, Vol. 103, p360-375. 16p. |
| مصطلحات موضوعية: |
*ELASTIC waves, *ELASTIC wave propagation, *LAGRANGE equations, *EQUATIONS of motion, *PROGRAMMING languages, *ANGULAR momentum (Mechanics), *LAPLACE transformation |
| مستخلص: |
• A non-local absorbing boundary conditions is constructed in peridynamic theory. • Motion equation of peridynamic theory is re-derived considering material damping. • Algorithm to realize the non-local absorbing boundary conditions in peridynamics is proposed. • Elastic wave propagation in semi-unbounded and unbounded solids are simulated. In order to simulate the elastic wave propagation in unbounded solids, this paper introduces a non-local method to construct absorbing boundary conditions in the bond-based peridynamic theory. To construct non-local absorbing boundary conditions in the form of absorbing layers with increasing damping, we first re-derived the particle motion equilibrium equation of the bond-based peridynamic theory, based on the principle of virtual work and Lagrange's equation on the premise of considering material damping. We also give the expression for the inter-particle damping force density which satisfies the balance laws of linear momentum and angular momentum. This paper also provides a process and algorithm for realizing the non-local absorbing boundary conditions in the bond-based peridynamic theory, and adopts the Fortran language for computer program compilation. Finally, we simulate the elastic wave propagation in semi-unbounded and unbounded solids as numerical examples. The results show that such non-local absorbing boundary conditions can stably absorb and attenuate incident elastic waves. Since it is derived in the time domain, this method does not require frequency-domain operations, such as Fourier and Laplace transformations, nor does it require wave field splitting. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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