We derive a novel formulation for the interaction potential between deformable fibers due to short-range fields arising from intermolecular forces. The formulation improves the existing section-section interaction potential law for in-plane beams by considering an offset between interacting cross sections. The new law is asymptotically consistent, which is particularly beneficial for computationally demanding scenarios involving short-range interactions like van der Waals and steric forces. The formulation is implemented within a framework of rotation-free Bernoulli-Euler beams utilizing the isogeometric paradigm. The improved accuracy of the novel law is confirmed through thorough numerical studies. We apply the developed formulation to investigate the complex behavior observed during peeling and pull-off of elastic fibers interacting via the Lennard-Jones potential.

翻译：我们推导出一种由分子间力产生的短程场引起的可变形纤维间相互作用势能的新型公式。该公式通过考虑相互作用的截面之间的偏移，改进了现有的平面梁截面-截面相互作用势能定律。新定律具有渐近一致性，尤其有利于处理涉及范德华力和空间位阻力等短程相互作用的计算密集型场景。该公式在利用等几何范式的无旋转伯努利-欧拉梁框架内实现。通过全面的数值研究，验证了新型定律的改进精度。我们应用所开发的公式研究了通过伦纳德-琼斯势相互作用的弹性纤维在剥离和拔脱过程中观察到的复杂行为。