A new nonlinear lattice model for an influence of the hydrogen concentration on the elastic constants of the lattice model of a material is developed. A weakly nonlinear long-wavelength continuum model is considered, and a model nonlinear equation for the dynamics of concentration of hydrogen is obtained asymptotically. The model predicts a decrease in the stiffness coefficient as well as a light local moving increase due to the localized nonlinear concentration wave propagation.

中文翻译：

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氢浓度对材料强度影响的非线性混合连续-离散动力学模型

针对氢浓度对材料晶格模型弹性常数的影响，提出了一种新的非线性晶格模型。考虑一个弱非线性的长波连续谱模型，并渐近地获得了氢浓度动力学的模型非线性方程。该模型预测，由于局部非线性集中波的传播，刚度系数将降低，并且光局部移动会增加。