On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity
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DOI：
10.4310/cms.2007.v5.n4.a6
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发表时间：
2007-12
影响因子：
1
通讯作者：
E. Emmrich;O. Weckner
中科院分区：
文献类型：
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作者：
E. Emmrich;O. Weckner
非局部周波理论通过不含任何空间导数的积分微分方程的初值问题来描述连续体的位移场。非定域性由所谓的周向视界δ决定，周向视界δ是所考虑的物质点之间的相互作用半径。对于小相对位移的线性情形，建立了周期运动方程的适定性和结构性质。此外，还研究了δ→0时的极限行为。
The non-local peridynamic theory describes the displacement field of a continuous body by the initial-value problem for an integro-differential equation that does not include any spatial derivative. The non-locality is determined by the so-called peridynamic horizon δ which is the radius of interaction between material points taken into account. Well-posedness and structural properties of the peridynamic equation of motion are established for the linear case corresponding to small relative displacements. Moreover the limit behaviour as δ→0 is studied.