独立或弹性嵌入球体的两种基本表面位移模式与整体形变的解析表达式
Analytical expressions for the two basic modes of surface displacement and overall deformation of a free-standing or elastically embedded sphere
AI总结：
针对有限尺寸弹性体内力形变解析计算难题，推导了独立及弹性嵌入的线弹性球体体积变化、单轴伸缩两种形变模式的显式解析表达式，为球形软致动器的材料优化计算提供基础。
摘要：
通过解析理论计算有限尺寸弹性体在内部作用力下的形变是一项挑战。本文推导了均匀、各向同性线弹性球体表面形变模式振幅的显式解析表达式，所研究的模式对应整体体积变化以及单轴相对伸长或收缩。研究同时考虑了两种情形：以无滑移条件嵌入线弹性、均匀、各向同性无限延伸背景介质中的弹性球，以及独立弹性球。例如，这些解析表达式可作为球形软致动器相关计算材料优化的重要基础。
英文摘要：
Calculating by analytical theory the deformation of finite-sized elastic bodies in response to internally applied forces is a challenge. Here, we derive explicit analytical expressions for the amplitudes of modes of surface deformation of a homogeneous, isotropic, linearly elastic sphere. The modes under consideration correspond to overall changes in volume and to relative uniaxial elongation or contraction. Both situations of an elastic sphere embedded under no-slip conditions in a linearly elastic, homogeneous, isotropic, infinitely extended background medium and of a free-standing elastic sphere are considered. For example, our analytical expressions are important as a basis for computational material optimization in the context of spherical soft actuators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
