Contact dynamics of elasto-plastic thin beams simulated via absolute nodal coordinate formulation

Under the frame of multibody dynamics, the contact dynamics of elasto-plastic spatial thin beams is numerically studied by using the spatial thin beam elements of absolute nodal coordinate formulation（ANCF）. The internal force of the elasto-plastic spatial thin beam element is derived under the assumption that the plastic strain of the beam element depends only on its longitudinal deformation.A new body-fixed local coordinate system is introduced into the spatial thin beam element of ANCF for efficient contact detection in the contact dynamics simulation. The linear isotropic hardening constitutive law is used to describe the elasto-plastic deformation of beam material, and the classical return mapping algorithm is adopted to evaluate the plastic strains. A multi-zone contact approach of thin beams previously proposed by the authors is also introduced to detect the multiple contact zones of beams accurately, and the penalty method is used to compute the normal contact force of thin beams in contact. Four numerical examples are given to demonstrate the applicability and effectiveness of the proposed elasto-plastic spatial thin beam element of ANCF for flexible multibody system dynamics.

Creating an Extraterritorial Application System of Chinese Law: From the Perspective of Advancing the Rule of Law in Domestic and Foreign-Related Affairs in a Coordinated Manner

The rule of law in foreign-related affairs breaks down the distinction between domestic law and international law,as well as between the rule of law in domestic affairs and that in international affairs,providing a bridge for China to build lawbased governance and to reform the global governance system for the new era.The extraterritorial application of domestic law can lead to legal conflicts between nations and conflicts between domestic law and international law.The principle of extraterritorially applying domestic law should be based on not violating the prohibitive provisions of international law and resolving legal conflicts through the conclusion of international treaties or negotiations.In the systematic undertaking of taking a coordinated approach to the rule of law in Chinese domestic and foreignrelated affairs,thebuilding ofChina's system of extraterritorial application of domestic law should be accelerated under the unified leadership by the Communist Party of China,with legislative,executive,and judicial authorities performing their respective duties.This building should be based on multilateralism,taking into account the legitimate concerns of other countries,and with the bottom line of not violating the prohibitive provisions of international law,and should be promoted with a balanced approach considering both"offense"and"defense."