一类组合硬化金属材料的成型问题 |
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引用本文: | T·A·安格罗夫,黄雅意.一类组合硬化金属材料的成型问题[J].应用数学和力学,2012,33(2):231-239. |
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作者姓名: | T·A·安格罗夫 黄雅意 |
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作者单位: | 保加利亚科学院力学研究所,索非亚1113,保加利亚 |
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摘 要: | 对一类组合金属材料,即不可压缩、刚塑性、与应变率相关、各向同性、运动中硬化的材料,在非局部接触的Coulomb摩擦边界条件下,考虑其准稳定成型问题.导出一组耦合的变分公式,证明(含延迟时间的)变刚度参数法的收敛性,证明了所得结果的存在性和唯一性.
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关 键 词: | 准稳定 刚塑性 组合硬化材料 非局部摩擦 变分分析 |
On a Class of Metal-Forming Problems With Combined Hardening |
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Institution: | T·A·Angelov(Institute of Mechanics,Bulgarian Academy of Sciences,Sofia 1113,Bulgaria) |
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Abstract: | A class of quasi-steady metal-forming problems,with incompressible,rigid-plastic,strain-rate dependent,isotropic and kinematic hardening material model and with nonlocal contact and Coulomb’s friction boundary conditions was considered.A coupled variational formulation was derived and by proving the convergence of a variable stiffness parameters method with time retardation,existence and uniqueness results were obtained. |
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Keywords: | quasi-steady rigid-plastic combined hardening nonlocal friction variational |
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