Exploring Stability Domains in Compressible Ogden’s Hyperelastic Model

Kossa, Attila (2026) Exploring Stability Domains in Compressible Ogden’s Hyperelastic Model. In: International Conference for Acoustic and Vibration Engineers (NVH Hungary 2025), 08/10/2025 - 10/10/2025, Balatonalmádi.

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Abstract

Rubber-like materials significantly affect the vibrational behavior and damping behavior of structures. Precise numerical computations in vibroacoustic engineering call for precise modeling of rubber-like materials. The most frequently utilized constitutive mechanical models for such materials are the hyperelastic models, of which the Ogden model is extremely popular since it can simulate well nonlinear stress-strain behavior using a very low number of material parameters. In practical applications, the accounting of volumetric deformation, however small, is crucial to achieve proper simulation. The present study demonstrates that for the compressible Ogden model, the loss of transverse strain stability may occur even under uniaxial loading conditions, potentially leading to numerical difficulties in simulations. The research aims at determining the regions of transverse strain stability for common loading conditions and examining the influence of Poisson’s ratio on these stability regions. Through the application of analytical as well as numerical methods, we obtain such stability boundaries. Such knowledge of stability limits is significant to ensure that efficient numerical solutions can be obtained in engineering applications. These findings can directly be utilized in improving the accuracy of NVH simulations where rubber components (such as bushings, mounts, or seals) are utilized in vibration isolation and structural noise absorption in vehicles. Our findings provide valuable guidance on enhancing the accuracy of acoustic and vibrational design models, bridging theory with practical engineering needs.

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