To study the mechanical behavior of an incompressible polymeric degradable vessel subjected to the neo-Hookean constitutive model, two solution frameworks are introduced. One is combining a recently developed semi-analytical method and the $\alpha$-family time approximation (hybrid method). The other is the Standard Galerkin Finite Element Method (SGFEM), which is implemented by providing a script in the FlexPDE commercial software. A deformation-induced evolution law is used to study the dependence of material properties upon time and position in the polymeric vessel during bulk degradation. The convergence of the two proposed methods on degradable vessel responses under the axisymmetric plane-strain conditions is seen. Although the hybrid method, unlike the SGFEM, is implemented as an iteration-based algorithm, it uses highly acceptable central processing unit time because it can directly solve differential equations without converting variables. The FlexPDE method is much easier to extend to more complex case studies because the hybrid method is based on an analytical approach. It is found that less pressure is required to maintain the incompressibility of the material during the degradation. The material response to incompressibility decreases more sharply in the inner radius of the vessel. Initially, the hoop stress decreases in the inner radius but eventually reaches more than its virgin value.

为了研究受新胡克本构模型影响的不可压缩聚合物可降解容器的力学行为，引入了两个解决方案框架。一种是结合最近开发的半分析方法和$\alpha$-家庭时间近似（混合方法）。另一种是标准伽辽金有限元法（SGFEM），它是通过在FlexPDE商业软件中提供脚本来实现的。变形诱导演化定律用于研究材料特性在本体降解过程中对时间和聚合物容器中位置的依赖性。可以看出，在轴对称平面应变条件下，两种提出的方​​法对可降解血管响应的收敛性。尽管混合方法与 SGFEM 不同，它是作为基于迭代的算法来实现的，但它使用了高度可接受的中央处理单元时间，因为它可以直接求解微分方程而无需转换变量。FlexPDE 方法更容易扩展到更复杂的案例研究，因为混合方法基于分析方法。发现在降解过程中保持材料的不可压缩性需要较小的压力。材料对不可压缩性的响应在容器的内半径中下降得更快。最初，环向应力在内径处减小，但最终达到超过其原始值。