摘要
An exact solution to cavitation is found tension of ac lass ofCauchy elastic membranes. The constitutive relationship of materialsis based on Hookean elastic law and finite logarithmic strain mea-Sure. A variable transformation is used in solving the two-pointboundary-value problem of nonlinear ordinary Different equation. Asimple formula to calculate the critical stretch for cavitation isderived. As the nu- Merical results, the bifurcation curvesdescribing void nucleation and suddenly rapidly growth of the cavityAre obtained. The boundary layers of displacements and stresses nearthe cavity wall are observed.
An exact solution to cavitation is found tension of ac lass ofCauchy elastic membranes. The constitutive relationship of materialsis based on Hookean elastic law and finite logarithmic strain mea-Sure. A variable transformation is used in solving the two-pointboundary-value problem of nonlinear ordinary Different equation. Asimple formula to calculate the critical stretch for cavitation isderived. As the nu- Merical results, the bifurcation curvesdescribing void nucleation and suddenly rapidly growth of the cavityAre obtained. The boundary layers of displacements and stresses nearthe cavity wall are observed.
基金
the National Natural Science Foundation of China(No.19802012)
the Scientific Research Foundation for Relurned Overseas Chinese Scholars
the Scientific Research Foundation for Key Teachers in Chinese Universities
