Non-linear dynamic intertwining of rods with self-contact

@article{citeulike:2581714, abstract = {Twisted marine cables on the sea floor can form highly contorted three-dimensional loops that resemble tangles. Such tangles or `hockles' are topologically equivalent to the plectomenes that form in supercoiled DNA molecules. The dynamic evolution of these intertwined loops is studied herein using a computational rod model that explicitly accounts for dynamic self-contact. Numerical solutions are presented for an illustrative example of a long rod subjected to increasing twist at one end. The solutions reveal the dynamic evolution of the rod from an initially straight state, through a buckled state in the approximate form of a helix, through the dynamic collapse of this helix into a near-planar loop with one site of self-contact, and the subsequent intertwining of this loop with multiple sites of self-contact. This evolution is controlled by the dynamic conversion of torsional strain energy to bending strain energy or, alternatively, by the dynamic conversion of twist (Tw) to writhe (Wr).}, author = {Goyal, Sachin and Perkins, N. C. and Lee, Christopher L. }, citeulike-article-id = {2581714}, doi = {10.1016/j.ijnonlinmec.2007.10.004}, journal = {International Journal of Non-Linear Mechanics}, month = {January}, number = {1}, pages = {65--73}, posted-at = {2008-03-24 18:13:42}, priority = {2}, title = {Non-linear dynamic intertwining of rods with self-contact}, url = {http://dx.doi.org/10.1016/j.ijnonlinmec.2007.10.004}, volume = {43}, year = {2008} }

TY - JOUR ID - citeulike:2581714 L3 - citeulike-article-id:2581714 TI - Non-linear dynamic intertwining of rods with self-contact JF - International Journal of Non-Linear Mechanics VL - 43 IS - 1 SP - 65 EP - 73 N2 - Twisted marine cables on the sea floor can form highly contorted three-dimensional loops that resemble tangles. Such tangles or `hockles' are topologically equivalent to the plectomenes that form in supercoiled DNA molecules. The dynamic evolution of these intertwined loops is studied herein using a computational rod model that explicitly accounts for dynamic self-contact. Numerical solutions are presented for an illustrative example of a long rod subjected to increasing twist at one end. The solutions reveal the dynamic evolution of the rod from an initially straight state, through a buckled state in the approximate form of a helix, through the dynamic collapse of this helix into a near-planar loop with one site of self-contact, and the subsequent intertwining of this loop with multiple sites of self-contact. This evolution is controlled by the dynamic conversion of torsional strain energy to bending strain energy or, alternatively, by the dynamic conversion of twist (Tw) to writhe (Wr). AU - Goyal, Sachin AU - Perkins, NC AU - Lee, Christopher PY - 2008/01// UR - http://dx.doi.org/10.1016/j.ijnonlinmec.2007.10.004 ER -