The balance of pseudomomentum is discussed and applied to simple elasticity, ideal fluids, and the mechanics of inextensible rods and sheets. A general framework is presented in which the simultaneous variation of an action with respect to position, time, and material labels yields bulk balance laws and jump conditions for momentum, energy, and pseudomomentum. The example of simple elasticity of space-filling solids is treated at length. The pseudomomentum balance in ideal fluids is shown to imply conservation of vorticity, circulation, and helicity, and a mathematical similarity is noted between the evaluation of circulation along a material loop and the J-integral of fracture mechanics. Integration of the pseudomomentum balance, making use of a prescription for singular sources derived by analogy with the continuous form of the balance, directly provides the propulsive force driving passive reconfiguration or locomotion of confined, inhomogeneous elastic rods. The conserved angular momentum and pseudomomentum are identified in the classification of conical sheets with rotational inertia or bending energy.

讨论了假动量的平衡，并将其应用于简单的弹性，理想流体以及不可伸展的杆和板的力学。提出了一个通用框架，其中，动作相对于位置，时间和材料标签的同时变化会产生体积平衡律以及动量，能量和拟动量的跳跃条件。详细介绍了填充固体的简单弹性的示例。结果表明，理想流体中的假动量平衡暗示着涡度，循环和螺旋度的守恒，并且在沿材料环的循环评估与断裂力学的J积分之间发现了数学上的相似性。假动量天平的集成，使用对类似于连续天平形式得出的单一来源的处方，直接提供驱动力来驱动受约束的不均匀弹性杆的被动重构或运动。保守的角动量和假动量在具有旋转惯性或弯曲能的圆锥形薄片的分类中被识别。