The incorporation of an efficient contact mechanics algorithm into a phase field sintering model is presented. Contact stresses on the surface of arbitrarily shaped interacting bodies are evaluated and built into the model as an elastic strain energy field. Energy relaxation through deformation is achieved by diffusive fluxes along stress gradients and rigid body motion of the deforming particles maintain contact between the particles. The proposed model is suitable for diffusion deformation mechanisms occurring at stresses below the yield strength of a defect-free material; this includes Nabarro-Herring creep, Coble creep and pressure-solution. The effect of applied pressure on the high pressure-high temperature (HPHT) liquid phase sintering of diamond particles was investigated. Changes in neck size, particle coordination and contact flattening were observed. Densification rates due to the externally applied loads were found to be in good agreement with a new theory which implicitly incorporates the effect of applied external pressure.

提出了一种有效的接触力学算法纳入相场烧结模型。评估任意形状的相互作用体表面上的接触应力，并将其建立为模型，作为弹性应变能场。通过沿着应力梯度的扩散通量实现通过变形的能量松弛，并且变形粒子的刚体运动保持粒子之间的接触。所提出的模型适合于在低于无缺陷材料的屈服强度的应力下发生的扩散变形机制。这包括Nabarro-Herring蠕变，Coble蠕变和压力求解。研究了施加压力对金刚石颗粒的高压高温（HPHT）液相烧结的影响。脖子大小的变化，观察到颗粒的配位和接触变平。发现由外部施加的载荷引起的致密化率与一种新的理论非常吻合，该理论隐含了施加的外部压力的影响。