Matteo Ruggieri , Jacopo Ciambella , Giuseppe Tomassetti , Stephan Rudykh
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This paper presents a comprehensive theoretical framework for modeling magneto-viscoelastic laminates (MVLs) under both finite and infinitesimal strains. The laminate-based approach preserves explicit information about the material’s internal structure through the orientation of layers, providing a direct link between microstructural architecture and macroscopic properties. By explicitly considering two distinct viscoelastic phases within the laminate, each with its own internal variable and relaxation time, our model captures the complex dynamic behavior observed in experimental studies. The governing equations are first derived for homogeneous strains, and then specialized to both finite and infinitesimal shearing deformation.
期刊介绍:
The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.
The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas.
Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.