Analysis of cracks in solids
Analysis of cracks in solids
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发表时间：
1999-11
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通讯作者：
A. Khludnev;V. A. Kovtunenko
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作者：
A. Khludnev;V. A. Kovtunenko
简介：模型的固体裂纹-元素的凸分析近似方法问题与奇异边界。板和壳中的裂纹：板的粘弹性接触问题蠕变条件下的板具有垂直和水平位移的板具有裂纹的板的接触问题板中最小开口的裂纹板的求解方法具有裂纹的壳的接触问题壳中裂纹的Signorini问题接触问题中的简化非穿透条件简化模型的求解方法。复杂板中的裂纹：蠕变条件下含裂纹的板其中一个有裂纹的两块板的接触含裂纹的热弹性板热弹性板中的最小开口裂纹板中的倾斜裂纹含裂纹板的摩擦问题。固体中裂纹的变化：裂纹长度的变化一个板的裂纹一个裂纹移动到外部边界的情况下，一个浅壳的情况下，一个裂纹附近的边界的能量泛函的泊松方程的渐近的能量泛函的Lam？方程三维情况扁壳中的极端裂纹形状。弹塑性体中的裂纹：Hencky模型的弹塑性问题Prandtl-Reuss模型的弹塑性问题含裂纹板的弹塑性问题Prandtl-Reuss弹塑性板曲线Kirchhoff杆的接触弹塑性问题曲线Curchshenko杆的接触弹塑性问题蠕变条件下的粘弹塑性曲线Curchshenko杆
Introduction: Modelling of solids with cracks - Elements of convex analysis Approximation methods Problems with singular boundaries. Cracks in plates and shells: Viscoelastic contact problem for a plate A plate under creep conditions A plate with vertical and horizontal displacements Contact problem for a plate having a crack Cracks of minimal opening in plates Solving methods for plates with cracks Contact problem for a shell with a crack Signorini problem for cracks in shells Simplified nonpenetration conditions in contact problems Solving methods for the simplified models. Cracks in complicated plates: Plate with a crack under the creep condition Contact of two plates one of which has a crack Thermoelastic plates with cracks Cracks of minimal opening in thermoelastic plates Inclined cracks in plates Friction problem for plates with cracks. Variation of cracks in solids: Variation of a crack length A plate with a crack A crack moving to the external boundary A case of a shallow shell A crack near the boundary Asymptotics of the energy functional for the Poisson equation Asymptotics of the energy functional for the Lam? equations Three-dimensional case Extreme crack shapes in a shallow shell. Cracks in elastoplastic bodies: Elastoplastic problems for the Hencky model Elastoplastic problems for the Prandtl-Reuss model Elastoplastic problems for plates with cracks The Prandtl-Reuss elastoplastic plates Contact elastoplastic problem for the curvilinear Kirchhoff rod Contact elastoplastic problem for the curvilinear Timoshenko rod Viscoelastoplastic curvilinear Timoshenko rod Curvilinear rod under creep conditions Conclusion.