论文标题
弹性可压缩缸中的弹性毛细管颈部，凸起和麦克斯韦状态
Elasto-capillary necking, bulging and Maxwell states in soft compressible cylinders
论文作者
论文摘要
理论上研究了局部模式的形成和“两相”变形，以通过几种力控制的载荷方案进行表面张力和轴向载荷的柔软可压缩缸和轴向载荷进行研究。通过利用已知的弹性定位问题但数学上相似的弹性定位问题的已知结果，根据一般可压缩的应变能函数，得出了局部膨胀或颈部分析分叉条件的简洁家族。分析了材料可压缩性和应变性行为对分叉点的影响，并进行了理论分叉条件与Dortdivanlioglu和Javili的相应数值模拟结果之间的比较（Extreme Mech。Lett。55，2022）。然后解释了如何使用简单的分析表达式来全面地理解从初始局部分叉溶液中演变的完全开发的“两相”状态（Maxwell）状态，该状态可以通过简单的分析表达式来理解与一级轴向张力变形相对应的力参数。这种简单的分析方法在验证弹性定位的数值模拟结果和这种性质的相位分离样问题方面的力量被突出显示
Localized pattern formations and "two-phase" deformations are studied theoretically in soft compressible cylinders subject to surface tension and axial loading through several force-controlled loading scenarios. By drawing upon known results for separate yet mathematically similar elastic localization problems, a concise family of analytical bifurcation conditions for localized bulging or necking are derived in terms of a general compressible strain energy function. The effect of material compressibility and strain-stiffening behaviour on the bifurcation point is analysed, and comparisons between our theoretical bifurcation conditions and the corresponding numerical simulation results of Dortdivanlioglu and Javili (Extreme Mech. Lett. 55, 2022) are made. It is then explained how the fully developed "two-phase" (Maxwell) state which evolves from the initial localized bifurcation solution can be comprehensively understood using the simple analytical expressions for the force parameters corresponding to the primary axial tension deformation. The power of this simple analytical approach in validating numerical simulation results for elastic localization and phase-separation-like problems of this nature is highlighted
