On the gradient-enhanced damage model for a hyperelastic material

Article Materials Science, Multidisciplinary

Unified one-dimensional finite element for the analysis of hyperelastic soft materials and structures

A. Pagani et al.

Summary: A displacement-based high order one-dimensional (1D) finite element model is proposed in this paper for the nonlinear analysis of isotropic, slightly compressible soft material structures. The model, based on Carrera unified formulation and first-invariant hyperelasticity, can address simple to complex nonlinear hyperelastic phenomena.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

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Article Materials Science, Multidisciplinary

Modified hyper-viscoelastic damage evolution constitutive model for polyurethane materials - an experimental and numerical investigation

Mina Jahanmardi et al.

Summary: In this study, a damage zone model was used to simulate the material behavior and damage evolution in PU elastomers with different shore hardness. Experimental tests were conducted to determine the material characteristics, and a numerical analysis procedure was developed to predict the damage evolution in the pure shear tearing specimen.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

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Article Materials Science, Multidisciplinary

Unified three-dimensional finite elements for large strain analysis of compressible and nearly incompressible solids

A. Pagani et al.

Summary: This work presents a displacement-based finite element model for analyzing large strains in isotropic compressible and nearly-incompressible hyperelastic materials. The constitutive law is formulated in terms of invariants of the right Cauchy-Green tensor and both coupled and decoupled formulations of strain energy functions are introduced. A penalty function is used to enforce the incompressibility constraint. The nonlinear governing equations are obtained using a total Lagrangian formulation and the principle of virtual displacements. The paper also derives the analytic expressions for the internal forces vector and tangent matrix of linear and high-order hexahedral finite elements using a three-dimensional formalism based on the Carrera Unified Formulation. The capabilities of the implementation are demonstrated through the analysis of benchmark problems involving compressible and nearly-incompressible beams, cylindrical shells, and curved structures in hyperelasticity.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

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Article Materials Science, Multidisciplinary

Analysis of transversely isotropic compressible and nearly-incompressible soft material structures by high order unified finite elements

Piero Chiaia et al.

Summary: This work proposes high-order finite element models for analyzing large strain in compressible and incompressible transversely isotropic hyperelastic media. The models are defined within the Carrera Unified Formulation framework and incorporate a strain energy density function adopted in fiber-reinforced hyperelastic materials modeling. The tangent elasticity tensor is derived through a coupled formulation of strain energy functions. Refined nonlinear beam and plate models are defined in a total Lagrangian formulation to analyze soft materials and structures. Numerical solutions are obtained using the Newton-Raphson linearization scheme coupled with the arc-length constraint. Benchmark analyses are performed to validate the capabilities and reliability of the proposed models.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

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Article Materials Science, Multidisciplinary