The Correlation of Bifurcations with Failure Modes in Quasi-Brittle Materials

研究的理论目标是确定 基于连续损伤本构方程的分叉， 故障模式的良好指示器。 既有一般的，也有不连续的 分叉将根据新制定的 考虑弹性变化的本构方程 张量和更适合于准脆性材料， 塑性的一般公式。 实验阶段将 提供失效区的方向和宽度，以及 单轴压缩试样的应变场 以及轴向压缩和侧向压力。 使用x射线 将提供在任何其他地方都无法获得的全场数据。 方式 将构建样本，以便它们的反应将是 二维的，因此，唯一适合实时x- 光线显示。 实验数据将提供 以及验证底层 理论方法中使用的假设。

The theoretical objective of the research is to determine if bifurcations based on continuum damage constitutive equations are good indicators of failure modes. Both general and discontinuous bifurcations will be determined based on newly formulated constitutive equations that allow for changes in the elasticity tensor and are more appropriate for quasi-brittle materials that the usual formulations of plasticity. The experimental phase will provide orientations and widths of failure zones together with strain fields for specimens subjected to both uniaxial compression and axial compression with lateral pressure. The use of x-rays will provide whole-field data that cannot be obtained in any other manner. Specimens will constructed so that their response will be two-dimensional and, therefore, uniquely suitable for real-time x- ray displays. The experimental data will provide both the insight and the verification necessary to validate the underlying hypotheses used in the theoretical approach.