Development of a Finite Element Model to Analyse the Proximal Ring of an Endovascular Device

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1 Development of a Finite Element Model to Analyse the Proximal Ring of an Endovascular Device Emma McCummiskey Department of Mechanical Engineering University of Strathclyde Glasgow, UK.

2 Overview Medical background Modelling the device with finite element analysis Complexities of modelling Results Future work Questions

3 What are AAA s? Local swelling in abdominal aorta Known as abdominal aortic aneurysms A major cause of death in western world If ruptured only 25% of patients will survive Most patients are high risk for remedial surgery

4 Aneurysms Aneurysm Ruptured undergoing Aneurysm remedial surgery

5 Modelling Most work to date on cardiovascular stents Different structure and purpose Difficult to define strain state which is heavily relied upon for fatigue Most important region is the proximal ring as this is relied upon for sealing In this work, only the proximal ring will be modelled.

6 Endovascular Repair Self expanding graft of 3 discrete modules Two small incisions in the femoral arteries Catheter inserted and deployed into position More complicated engineering design Proximal ring leg 1 body leg 2

7 Modelling issues Geometry and bundle Material model Contact issues Pre-strain in the model

8 Geometry and wire bundle Multiple turns of wire wound into a ring and sutured into fabric in a slight saddle Difficult to ascertain the configuration of wires around the ring In this work a single representative wire will be modelled Model is symmetrical about two planes thus can be modelled as a ¼ model

9 Superelastic Nitinol Can undergo very high strains (8-10%) without permanent deformation 1250 stress (MN/m 2 ) strain (%)

10 Superelastic Nitinol Is subjected to cyclic softening Stress (MN/m 2 ) cycle 1 cycle 2 cycle strain (%)

11 Superelastic Nitinol Exhibits different behaviour in tension and compression stress (MN/m2) strain (%)

12 Nitinol Material Model 1250 stress (MN/m 2 ) Maximum strain strain (%) Ansys approximates the curve as shown

13 Contact Modelling Used to determine the stresses experienced by the artery Large contact stresses may cause penetration or cutting Low contact stresses may cause inadequate sealing Both surface to surface and node to surface contact used in simulation

14 Pre-strain in the model Use the proximal ring is pre-strained during the manufacturing process Structural pre-strain analysis modelling straight wire, roller and former Roller rotated around the former to bend the wire thus creating accurate strain distribution Sequential solution for deployment in tube with pre-strain

15 Applying the Pre-strain Create ¼ model geometry in Ansys Use Ansys approximation of Nitinol material Apply appropriate constraints and contact pairings to the geometry and bend wire through 90 degrees Remove the Roller and former Store displacements and apply to each node.

16 Deployment Analysis Apply symmetry to wire and tube Insert wire into tube Deform the wire longitudinally into1/4 saddle Remove displacement from wire and allow to settle into tube. Analyse results to determine equilibrium position

17 Pre Strain Analysis

18 Compaction Analysis

19 Deployment Analysis

20 Variation of Oversize on a B30 2 Variation of strain with device oversize strain % oversize ring vessel prestrain

21 Conclusions The Nitinol material model provided by ANSYS is adequate for our purposes The pre-strain, compaction and deployment can be modelled in ANSYS The maximum strain undergone by the ring is ~1.8%

22 Future Work Future work will include Validation of numerical findings Investigation of bundle model Model of the artery

23 Acknowledgements The authors would like to acknowledge the use of ANSYS and under a university research license Ansys UK support Funding from the Medical Devices Faraday Partnership Funding from Terumo Vascutek

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