由周期的 composites 组成的可锻的合成结构的忍受负担的能力被一条联合 micro/macromechanical 途径学习。在显微镜的水平上,第一,一个代表性的体积元素(RVE ) 被选择反映合成材料的微观结构,成分被假定有弹性完美地塑料。基于 homogenization 理论和静态的限制定理,直接计算 RVE 的宏观的力量领域的优化明确的表达被获得。静态的限制分析当模特儿的有限元素作为非线性的数学编程被提出并且由顺序的二次的编程方法解决了,在温度参数方法被用来构造自我压力领域的地方。第二,希尔的收益标准被采用连接微机械并且宏机械分析。并且限制大量合成结构在宏观的规模上被得出。最后,一些例子和比较被显示出。
The load-bearing capacity of ductile composite structures comprised of periodic composites is studied by a combined micro/macromechanicai approach. Firstly, on the microscopic level, a representative volume element (RVE) is selected to reflect the microstructures of the composite materials and the constituents are assumed to be elastic perfectly-plastic. Based on the homogenization theory and the static limit theorem, an optimization formulation to directly calculate the macroscopic strength domain of the RVE is obtained. The finite element modeling of the static limit analysis is formulated as a nonlinear mathematical programming and solved by the sequential quadratic programming method, where the temperature parameter method is used to construct the self-stress field. Secondly, Hill's yield criterion is adopted to connect the micromechanicai and macromechanical analyses. And the limit loads of composite structures are worked out on the macroscopic scale. Finally, some examples and comparisons are shown.