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金屬層合板板形翹曲變形行為

Warpage deformation behavior of metal laminates

  • 摘要: 采用經典彈性力學方法建立了金屬層合板翹曲解析計算力學模型,獲得了厚度方向不均勻延伸與板形翹曲之間的定量關系;并分別建立了在線和離線兩種狀態下金屬層合板翹曲變形的有限元數值模擬模型,對解析計算力學模型進行了驗證;在此基礎上,揭示了金屬層合板產生板形翹曲缺陷的力學根源以及各因素對金屬層合板板形翹曲缺陷演變的影響規律,同時對比分析了雙層和三層結構層合板與均質板的翹曲變形差異以及銅/碳鋼層合板與不銹鋼/碳鋼層合板二者之間的翹曲變形差異。研究表明,金屬層合板翹曲高度與延伸差、厚度比呈正比關系,與厚度呈反比關系,且基層與覆層的切變模量相差越大,厚度比對金屬層合板翹曲變形的影響越大。基于數值模型,模擬研究了層合板在理想均勻分布的初始溫度下,歷經去應力退火過程時,其板形翹曲的變形行為及規律,并與均質板進行比較。最后,在工業生產現場取樣已翹曲層合板,通過測量其彎曲變形量進而反求其初始延伸差,驗證了解析計算力學模型的準確性。

     

    Abstract: The layered characteristics of the material in the thickness direction of the metal laminate make it more prone to uneven plastic extension during the thinning, rolling, flattening, and straightening process, resulting in plate-shaped warpage defects and cause the plate-shaped warpage of the metal laminate. The behavior is significantly different from that of a homogeneous metal plate. In this paper, the classical elastic mechanics method was used to establish an analytical computational mechanical model for the warpage of the metal laminate, and the quantitative relationship between the uneven extension in the thickness direction and the warpage of the plate shape was obtained; the online and offline states of the metal laminate were established, respectively. The finite element numerical simulation model of warpage deformation validated the analytical computational mechanics model; based on this, it revealed the mechanical roots of the shape warping defects of metal laminates and the effect of various factors on the shape warpage defects of metal laminates. The influence law of evolution and the difference in warpage deformation between double-layer and three-layer structure laminates and homogeneous plates, as well as the difference in warpage deformation between copper/carbon steel laminates and stainless steel/carbon steel laminates, were compared. Studies have shown that the warpage height of the metal laminate is proportional to the elongation difference and thickness ratio, and it is inversely proportional to the thickness. The greater the difference between the shear modulus of the base layer and the cladding layer is, the larger the effect of the thickness ratio on the warpage deformation of the metal laminate will be. Based on the numerical model, simulation studies were conducted on the deformation behavior and regularity of the plate shape warping of the laminated plate under the ideal uniform distribution of the initial temperature and the stress relief annealing process, and it was compared with that of the homogeneous plate. Finally, a sample of the warped laminate was taken at an industrial production site, and the initial extension difference was reversed by measuring its bending deformation. The result verifies the accuracy of the analytical computational mechanical model.

     

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