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提出一种基于结构边界强度的形状优化设计的新方法，该方法以有限元模型中结构边界上的节点应力值来驱动节点位置的变化。利用物体“热胀冷缩”的数学模型，根据边界节点的应力值与给定的应力目标值，在边界节点上施加相应的温度载荷，使应力大于目标值的节点膨胀，反之收缩，最后达到边界上的节点应力均趋于给定的应力目标值。该方法高效、可靠，可用于受机械载荷作用连续体的内、外边界的形状优化设计。
A new method of shape optimization design based on the strength of the structure boundary is proposed. The method uses the node stress value of the structure boundary in the finite element model to drive the change of the node position. According to the mathematical model of object “thermal expansion and contraction”, according to the stress value of the boundary node and the given stress target value, corresponding temperature load is applied on the boundary node so that the node with the stress larger than the target value expands and shrinks and finally reaches Nodal stress on the boundary tends to a given stress target. The method is efficient and reliable and can be used to optimize the shape of the inner and outer boundaries of the continuum subjected to mechanical loads.