An uncoupled moisture-elasticity problem is solved in Lagrangian coordinates. Many bodies, such as building materials, foods, and soils and grounds have structures in which the dominant role is played by the coagulation bonds formed due to the linkage of solid-phase particles through the thin water interlayers. This leads to a high mobility of the skeleton particles relative to one another, even when the forces applied to the material are insignificant. Therefore, such systems, when loaded, are prone to large deformations and form changes. In particular, they may undergo structural transformations in the course of mass exchange with the environment. In so doing, the main causes of deformations of the material and its structural changes are the capillary and disjoining pressures of thin liquid layers. It is known that in such materials the volume is related to the moisture content by the relation V = V{sub}0(1 + β{sub}v(W- W{sub}0)) [1] and, e.g., for metals an analogous temperature dependence takes place: V = V{sub}0(1 + α(T - T{sub}0)) [2]. Consequently, an analogy between the temperature and moisture stresses exists. Thus, in thermoelasticity, the strained-stressed state of the material is definitively determined by the nonuniform temperature distribution in the body. Likewise, in the process of drying of a moist material, stresses resulting from the nonuniform moisture distribution appear in it.
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机译：在拉格朗日坐标中解决了不耦合的湿弹性问题。许多物体，例如建筑材料，食物，土壤和地面，都具有这样的结构，其中固相颗粒通过稀薄的水中间层的连接所形成的凝结键起着主导作用。即使当施加到材料上的力微不足道时，这也导致骨架颗粒彼此之间具有较高的迁移率。因此，这样的系统在加载时易于变形和变形。特别是，它们可能在与环境大量交换的过程中发生结构转变。在这种情况下，材料变形及其结构变化的主要原因是薄液体层的毛细作用和分离压力。已知在这种材料中，体积与水分含量之间的关系为：V = V {sub} 0（1 +β{sub} v（W-W {sub} 0））[1]，例如，对于金属，发生了类似的温度依赖性：V = V {sub} 0（1 +α（T-T {sub} 0））[2]。因此，存在温度和湿度应力之间的类比。因此，在热弹性中，材料的应变状态由体内的不均匀温度分布确定地确定。同样，在干燥湿物料的过程中，由于水分分布不均匀而产生的应力也会出现在其中。
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