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根据开孔泡沫金属材料的结构特点提出其抽象化的新型简化结构模型,即"八面体模型",在此基础上建立起该类材料在双向拉伸条件下的力学分析模型.从该分析模型出发,推导得出了该类材料在双向拉伸破坏时两向名义应力与孔率三者的数学关系式.结果表明:该关系式还可进一步描述成"偏应力"、"平均应力"和孔率三者之间的关系. 本理论模型与Gibson和Ashby的有关理论体系的不同之处是,前者可直接运用"梁理论"进行方便的分析和推演,而后者则不能. 验证实验结果显示,本理论模型的数学关系与实际数据吻合良好.

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