Three-dimensional analytical model for effective elastic constants of transversely isotropic plates with multiple cracks: Application to stiffness reduction and steady-state cracking of composite laminates

Three-dimensional analytical model for effective elastic constants of transversely isotropic plates with multiple cracks: Application to stiffness reduction and steady-state cracking of composite laminates
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DOI:
10.1016/j.engfracmech.2019.106595
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发表时间:
2019-10-01
影响因子:
5.4
通讯作者:
Okabe, Tomonaga
Okabe, Tomonaga
中科院分区:
工程技术2区
文献类型:
--
作者:
Onodera, Sota;Okabe, Tomonaga

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采用连续损伤力学方法,提出了含层裂横向各向同性板的三维有效弹性常数解析解。与拉伸和剪切损伤相关的两个损伤参数被配制为使用满足平衡方程的局部应力场的铺层裂纹密度的函数。然后采用三维层合板理论,利用损伤层的有效柔度来计算层合板的有效柔度,并建立了稳态裂纹的解析模型。该模型再现了层合板的热机械性能和裂纹萌生应力。
An analytical three-dimensional effective elastic constant of transversely isotropic plates that include ply cracks is proposed using a continuum damage mechanics approach. Two damage parameters associated with tensile and shear damage are formulated as functions of ply crack density using local stress fields that satisfy the equilibrium equations. Three-dimensional laminate theory is then employed to formulate the effective compliance of the laminate using the effective compliance of a damaged ply, and an analytical steady-state cracking model is established. The proposed model reproduces the thermomechanical properties and the crack initiation stress of laminates.