The Ogden hyperfoam model has been widely used to characterize the hyperelastic deformation of elastomeric foams. To capture the shear response, shear stress–strain data obtained from simple shear tests are traditionally used, along with uniaxial compression data, to fit the model parameters. The adequacy of the shear stress–strain data for the parameter fitting of the Ogden hyperfoam model to describe the true shear response is investigated in this study. The normal stress, perpendicular to the shear surface induced by the Poynting effect of simple shear, is tested and compared with the predicted values of the model fitted using the traditional strategy. A noticeable deviation between the values of normal stress indicates that the traditional strategy cannot give precise model parameters for the Ogden hyperfoam model to describe the real shear response. Three novel strategies for the parameter fitting procedure of the Ogden hyperfoam model are proposed. Besides the nominal stress of uniaxial compression and the shear stress of simple shear, normal stress perpendicular to the shear plane, or zero-side normal traction constraint on the inclined surface, or both normal stress and zero-side normal traction constraint are used to construct the error functions for new strategies. Model parameters for the third-order Ogden hyperfoam model are obtained by minimizing the error functions. The performances of the novel strategies are demonstrated by comparing the fitted material responses with experimental data. The results indicate that the prediction accuracy of the model is directly proportional to the number of constraints used in the parameter fitting procedure. The novel strategy based on additional constraints of normal stress and zero-side normal traction is suggested. This strategy is expected to improve the shear response prediction performance of the Ogden hyperfoam model and aid in the establishment of constitutive models for elastomeric foams.

Ogden超泡沫模型已被广泛用于表征弹性体泡沫的超弹性变形。为了捕获剪切响应，传统上使用从简单剪切试验获得的剪切应力-应变数据以及单轴压缩数据来拟合模型参数。在这项研究中，研究了剪切应力-应变数据对于描述真实剪切响应的Ogden超泡沫模型参数拟合的充分性。测试了垂直于由简单剪切的Poynting效应引起的剪切表面的法向应力，并将其与使用传统策略拟合的模型的预测值进行了比较。法向应力值之间存在明显的偏差，表明传统策略无法为Ogden超泡沫模型提供精确的模型参数来描述真实的剪切响应。提出了三种新的Ogden超泡沫模型参数拟合过程策略。除了单轴压缩的名义应力和简单剪力的剪应力之外，还使用垂直于剪力面的法向应力或倾斜表面上的零侧法向牵引约束，或同时使用法向应力和零侧法向牵引约束来构造新策略的错误功能。通过最小化误差函数获得三阶Ogden超泡沫模型的模型参数。通过将拟合的材料响应与实验数据进行比较，证明了新策略的性能。结果表明，模型的预测精度与参数拟合过程中使用的约束数量成正比。提出了基于正应力和零侧法向牵引力附加约束的新颖策略。预期该策略将改善Ogden超泡沫模型的剪切响应预测性能，并有助于建立弹性体泡沫的本构模型。