Progressive Damage Analysis of Honeycomb Sandwich Panel with Plain Weave Panel in Hygrothermal Environment
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摘要: 为了研究侧向压缩载荷下单侧面板含穿孔的平纹编织面板蜂窝夹芯板的损伤行为,建立考虑湿热效应的渐进损伤模型。编写UMAT子程序将考虑湿热效应的本构关系、温度变化对材料属性的影响、选用的失效准则和刚度退化模型加入到考虑湿热效应的渐进损伤分析中。将模型在25 ℃、0吸湿量条件下预测的位移-载荷曲线及失效形式与实验进行对照,以验证建立模型的正确性。进一步在5个温度和5个湿度下研究湿热效应对受侧向压缩载荷的蜂窝夹芯板承载强度的影响。结果表明,建立的模型可有效预测损伤的扩展过程和湿热环境对蜂窝板性能的影响,随着温度和湿度的增加,蜂窝板的承载强度逐渐下降。
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关键词:
- 平纹编织面板蜂窝夹芯板 /
- 湿热环境 /
- UMAT子程序 /
- 渐进损伤模型
Abstract: A progressive damage model by considering the hygrothermal effect was established to study the damage behavior of honeycomb sandwich panel with plain weave panel under lateral compression. The UMAT subroutine is written to take the influence of the hygrothermal effect on the constitutive relation, the influence of the change in temperature on the material properties, the selected failure criteria and the stiffness degradation model into the progressive damage analysis. The predicted load-displacement curve and failure mode via the model at 25 ℃ and 0 moisture absorption were compared with the experimental in order to verify the correctness of the model. Furthermore, the influence of the hygrothermal effect on the bearing strength of the honeycomb sandwich panel subjected to the lateral compression load is studied at 5 temperatures and 5 humidities. The results show that the model can effectively predict the damage propagation process and the influence of the hygrothermal environment on the performance of the honeycomb sandwich panel. The results show that the bearing strength of the honeycomb sandwich panel decreases gradually with the increasing of temperature and humidity. -
图 4 经向纤维压缩失效的扩展过程与实验[22]对照
表 1 刚度退化模式[19]
损伤类型 材料参数退化方式 经向纤维
压缩失效$E_{{{11}}}^D = 0.{{01}}{E_{{{11}}}},G_{12}^D = 0.{{1}}{G_{12}},$
$G_{13}^D = 0.{{01}}{G_{{{1}}3}},{\upsilon _{12}} = 0,{\upsilon _{13}} = 0 $纬向纤维
压缩失效$ {E}_{{22}}^{D}=0.{01}{E}_{22},{G}_{12}^{D}=0.{1}{G}_{12},$
${G}_{23}^{D}=0.{01}{G}_{23},{\upsilon }_{{12}}{=0},{\upsilon }_{{23}}=0 $纤维-基体经向
剪切失效$G_{{{12}}}^D = 0.{{1}}{G_{{{12}}}},{\upsilon _{{{12}}}} = 0$ 纤维-基体纬向
剪切失效$G_{{{12}}}^D = 0.{{1}}{G_{{{12}}}},{\upsilon _{{{12}}}} = 0$ 蜂窝芯失效 $E_{{{11}}}^D = 0.4{E_{11}},E_{22}^D = 0.4{E_{22}},$
$E_{33}^D = 0.45{E_{33}},G_{ij}^D = 0.4{G_{ij}}\left( {i \ne j} \right) $表 2 胶层材料参数[21]
参数 数值 参数 数值 ${E_n}$/MPa 3000 ${G_{IIIc}}$/mJ·mm−2 0.665 ${E_s}$/MPa 1150 $\sigma _n^0$/MPa 10 ${E_t}$/MPa 1150 $\sigma _s^0$/MPa 15 ${G_{Ic}}$/mJ·mm−2 0.268 $\sigma _t^0$/MPa 15 ${G_{IIc}}$/mJ·mm−2 0.665 表 3 单层板等效材料参数[21]
参数 数值 参数 数值 ${E_{11}}$/GPa 21 ${X_t}$/MPa 322 ${E_{{\rm{22}}}}$/GPa 23 ${X_c}$/MPa 364 ${E_{{\rm{33}}}}$/GPa 18 ${Y_t}$/MPa 322 ${\nu _{{\rm{12}}}}$/GPa 0.2 ${Y_c}$/MPa 364 ${\nu _{{\rm{13}}}}$/GPa 0.15 ${Z_t}$/MPa 103 ${\nu _{{\rm{23}}}}$/GPa 0.15 ${Z_c}$/MPa 500 ${G_{12}}$/GPa 2.65 ${S_{12}}$/MPa 118 ${G_{13}}$/GPa 1.7 ${S_{13}}$/MPa 24 ${G_{23}}$/GPa 1.7 ${S_{23}}$/MPa 24 表 4 蜂窝芯等效材料参数[21]
参数 数值 参数 数值 ${E_{11}}$/MPa 0.28 ${\nu _{{\rm{12}}}}$/MPa 0.99 ${E_{{\rm{22}}}}$/MPa 0.28 ${\nu _{{\rm{13}}}}$/MPa 0 ${E_{{\rm{33}}}}$/MPa 298 ${\nu _{{\rm{23}}}}$/MPa 0 ${G_{12}}$/MPa 0.04 ${X_t}$/MPa 5.71 ${G_{1{\rm{3}}}}$/MPa 82.21 ${S_{cx{\textit{z}}}}$/MPa 82.21 ${G_{{\rm{23}}}}$/MPa 43.28 ${S_{cy{\textit{z}}}}$/MPa 43.28 表 5 不同湿热条件下的失效载荷
kN 湿度/% 温度/℃ 25 50 75 100 125 0 19.92 19.56 19.20 18.84 18.48 0.25 19.38 19.02 18.66 18.30 17.94 0.50 18.84 18.48 18.12 17.76 17.40 0.75 18.30 17.94 17.58 17.22 16.86 1.00 17.76 17.40 17.04 16.68 16.32 -
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