Journal article
Solving membrane stress on deformed configuration using inverse elastostatic and forward penalty methods
Computer methods in applied mechanics and engineering, Vol.308, pp.134-150
08/15/2016
DOI: 10.1016/j.cma.2016.05.017
Abstract
Wall stress in a curved membrane depends on the surface geometry and applied load, not the constitutive law of the wall material (static determinacy). This remarkable property suggests that the membrane stress can be determined without knowing of the material property. Being able to determine the wall stress without material knowledge is practically significant in numerous applications, particularly in in vivo biomedical stress analysis wherein patient-specific tissue properties are extremely difficult to obtain. In this article, we present two non-traditional methods that utilize the static determinacy to compute the membrane stress. A common theme is to start with a deformed configuration and use artificial material models. In one of these approaches, the equilibrium problem is formulated as an inverse elastostatic problem whereby the stress is determined by way of finding a (fictitious) reference configuration. The other approach utilizes the standard forward analysis, but in a penalty setting using artificially stiff material models. A continuum sensitivity analysis is implemented to quantitatively assess the influence of material parameters. These developments open new pathways of membrane analysis enabling stress prediction without using realistic material parameters. Numerical examples are provided to demonstrate and compare these two methods.
•Proposed two methods for solving membrane stress without using realistic material constitutive law. These methods utilize the property of static determinacy to determine the membrane stress, alleviating the dependence on material parameters. This material independent approach of stress analysis is significant for biomechanical application, especially image-based patient-specific analysis.•Presented a sensitivity analysis to be used in conjunction with the stress analysis. The sensitivity analysis enables a quantitative assessment of the influence of material parameters on the stress predictions.
Details
- Title: Subtitle
- Solving membrane stress on deformed configuration using inverse elastostatic and forward penalty methods
- Creators
- Jia Lu - University of IowaYuanming Luo - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.308, pp.134-150
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cma.2016.05.017
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 08/15/2016
- Academic Unit
- Iowa Technology Institute; Mechanical Engineering
- Record Identifier
- 9984196641402771
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