AI 中文总结
该研究推导了一种降阶电化学-力学模型，可在保持与标准DFN模型相当复杂度的同时，捕捉锂离子电池的多尺度力学耦合，其公式可集成到DFN等电池模拟框架中，实现力学效应的高效模拟。
AI 中文摘要
锂离子电池中由嵌锂引发的膨胀不仅会在活性颗粒内部产生应力，还会在周围的非活性基体、电极及电池堆之间产生应力。这些应力会改变锂的化学势，进而影响传输、反应动力学和端电压。我们推导了一种降阶电化学-力学模型，该模型可捕捉这种多尺度耦合，同时保持与标准Doyle–Fuller–Newman（DFN）模型相当的复杂度。该电极被建模为嵌入均匀弹性非活性基体中的球形活性颗粒的周期性阵列。利用非活性基体相对于活性材料的低刚度，以及颗粒、电极和全电池之间的尺度分离，我们得到了对活性颗粒化学势和过电位的有效力学修正。该修正取决于颗粒膨胀、电极尺度应变以及宏观边界条件（如夹紧或施加的压力）。所得公式可直接集成到DFN、SPMe和SPM框架中，为在电化学模拟中纳入电池尺度的力学效应提供了计算高效的途径。
英文摘要
Lithiation-induced swelling in lithium-ion batteries generates stresses not only within active particles, but also across the surrounding non-active matrix, electrodes, and cell stack. These stresses can modify the chemical potential of lithium and therefore influence transport, reaction kinetics, and terminal voltage. We derive a reduced-order electro-chemo-mechanical model that captures this multiscale coupling while retaining a complexity comparable to standard Doyle--Fuller--Newman models. The electrode is modelled as a periodic array of spherical active particles embedded in a homogenised elastic non-active matrix. Exploiting the small stiffness of the non-active matrix relative to the active material, together with scale separation between particles, electrodes, and the full cell, we obtain an effective mechanical correction to the active-particle chemical potential and overpotential. This correction depends on particle swelling, electrode-scale strain, and macroscopic boundary conditions such as clamping or applied pressure. The resulting formulation can be incorporated directly into DFN, SPMe, and SPM frameworks, providing a computationally efficient route to include battery-scale mechanical effects in electrochemical simulations.
