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Owing to the wide acceptance of fiber reinforced composites in the lightweight structure industry, the need to study its thermo‐elastic behavior in dynamical multi‐body systems still remains an open question. Standard continuum models, by virtue of first‐order gradient of deformation, cannot capture curvature effects and hence appropriate extensions of the standard modeling techniques are indispensable...
We aim at dynamic simulations of 3D‐fiber‐reinforced materials in light‐weight structures, which are reinforced by fiber rovings comprised of thousands of filaments. Each roving possesses a separate bending stiffness, which has a large influence on the material behaviour on the macro scale. For the description of this material behavior, we extend a hyperelastic anisotropic Cauchy continuum formulation,...
In mechanical engineering, the finite element method is well‐known in the simulation of homogeneous materials without microstructures. But, in particular, microstructures can improve materials with respect to their applicability in engineering. Examples are 2D‐ and 3D‐fiber‐reinforced materials, which are manufactured in the microscale or mesoscale, respectively. An efficient finite element simulation...
Investigating the bending stiffness of fibers in fiber‐reinforced composites for rotor‐dynamical systems which are subjected to dynamical loads are essential in the development of system design. The proposed numerical modeling approach of fiber‐reinforced composites uses a multi‐field mixed finite element formulation based on a dynamic variational approach to perform long‐term dynamic simulations...
Today, fiber‐reinforced materials and their exact dynamic simulation play a significant role in the construction of lightweight structures. These materials are used in aircraft, automobiles and wind turbines, for instance. The low density and the high modulus of elasticity play a major role, but also the thermal properties should not be neglected. First of all, the thermal expansion of the matrix...
In 2D fiber‐reinforced composites, single fibers with a diameter in the range of micrometers are embedded in a matrix material. 3D fiber‐reinforced composites consist of fiber bundles (rovings) with diameters of millimeters. Therefore, 3D fiber‐reinforced composites require an extended material modelling, because a fiber bundle has to be considered as a beam‐like structure with curvature‐twist (twisting...
Three‐dimensional woven carbon‐fiber reinforced polymers (3D‐CFRP) are being increasingly used for blades in rotordynamical systems as turbine fans, shafts as well as disc brake rotors. By using dynamic mixed finite‐element methods, these materials can be simulated as anisotropic continua with non‐isothermal behaviour in the matrix as well as the fiber material. Therefore, we present a novel dynamic...
In this paper, novel higher‐order accurate energy‐momentum schemes are presented, emanating from a discrete mixed principle of virtual power. These time‐stepping schemes are designed for simulating an uni‐directional fiber‐reinforced material, considered as transversely isotropic nonlinear continua. The matrix material is considered as an isotropic thermo‐viscoelastic material and the fibers behave...
This paper contributes to the improvement of recently published higher-order accurate energy–momentum schemes for an anisotropic hyperelastic material formulation based on the concept of structural tensors. These Galerkin-based energy–momentum schemes are developed by means of time finite elements with the focus on improving numerical stability and robustness in the presence of stiffness and large...
This paper is motivated by dynamic simulations of fiber‐reinforced materials in light‐weight structures, and has two goals. First of all, the introduction of energy‐momentum schemes for nonlinear anisotropic materials, based on GALERKIN approximations in space and time, assumed strain approximations in time and superimposed algorithmic stress fields (compare [1]). Second, to show a variationally consistent...
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