AI 中文总结
该研究基于q-接触几何构建含多独立耗散通道动力系统的统一哈密顿框架，将弹塑性损伤模型嵌入非均匀2-接触框架并通过数值模拟验证，证实了指数耗散律及重标守恒量。
AI 中文摘要
本文基于q-接触几何，为具有多个独立耗散通道的动力系统构建了统一的哈密顿框架。作为应用，将含两个内变量的弹塑性损伤模型嵌入非均匀2-接触框架，明确构造基础几何结构，推导有效运动方程，并通过数值模拟验证理论预测，结果证实了指数耗散律及相关的重标守恒量。
英文摘要
In this paper, we develop a unified Hamiltonian framework for dynamical systems with multiple independent dissipation channels based on q-contact geometry. As an application, we embed an elastoplastic damage model with two internal variables into the non-uniform 2-contact framework, explicitly construct the underlying geometric structure, derive the effective equations of motion, and validate the theoretical predictions through numerical simulations, which confirm the exponential dissipation law and the associated rescaled conserved quantity.
