The recently proposed continuum-kinematics-inspired peridynamics (CPD) is extended to account for thermo-mechanical coupling at large deformations. The key features of CPD are that it is geometrically exact and is built upon multi-neighbour interactions. The bond-based interactions of the original PD formalism are equivalent to one-neighbour interactions of CPD. Two- and three-neighbour interactions, however, are fundamentally different from state-based PD in that the basic elements of continuum kinematics are preserved exactly. We elaborate on thermodynamic restrictions on the interaction energies and derive thermodynamically consistent constitutive laws through a Coleman–Noll-like procedure. Notably, we show that various choices for temperature, or coldness, satisfy the dissipation inequality and provide meaningful temperature, or coldness, evolution equations together with Fourier-like conduction relations.

最近提出的以连续运动学为灵感的周边动力学（CPD）已得到扩展，以解决大变形时的热力耦合问题。CPD的关键特征是它在几何上是精确的，并且建立在多邻居交互的基础上。原始PD形式主义的基于债券的交互作用等同于CPD的邻人交互作用。但是，两个邻域和三个邻域的交互与基于状态的局部放电从根本上不同之处在于，连续运动学的基本要素得到了精确保留。我们详细阐述了对相互作用能的热力学限制，并通过类似于Coleman-Noll的程序推导了热力学一致的本构定律。值得注意的是，我们表明，温度或冷度的各种选择都可以满足耗散不等式并提供有意义的温度或冷度，