Abstract
In this paper the Asymptotic Homogenization Method is combined with a model of Hyperelasticity with softening (which models the mechanical failure of the material), with the purpose of estimating the mechanical behaviour of microperiodic composites in the way to reproduces better the behaviour obtained in experiments. This hybrid approach brings some satisfactory results, showing that the (hypothetical) composite studied presents effective behaviour very close to the expected from the Hyperelasticity model. That is a very important fact because can be used as a tool to predict the failure of composite materials, trough its constituent materials information. This evaluating needs more steps, to be possible much bigger and strong conclusions.
Highlights
Composite materials can be understood as heterogeneous material formed by the union of two or more homogeneous materials
Here is a nonlinear hyperelasticity with softening model, proposed by (VOLOKH, 2007), that represents a way to model the mechanical behaviour of a material in a more realistic form, in relation to experimental results (see (PERALTA; MOSALAM; LI, 2016))
In light of the above mentioned, this paper evaluate the effective mechanical behaviour of a onedimensional, biphasic, linear and microperiodic composite, which both phases are modeled by the hyperelasticity with softening model
Summary
Composite materials can be understood as heterogeneous material formed by the union of two or more homogeneous materials (these are the phases of the composite). Here is a nonlinear hyperelasticity with softening model, proposed by (VOLOKH, 2007), that represents a way to model the mechanical behaviour of a material in a more realistic form, in relation to experimental results (see (PERALTA; MOSALAM; LI, 2016)) On this model, a new formulation of the stress energy are considered, which bring the concept of a critical energy value, modelling the failure of the structure. In light of the above mentioned, this paper evaluate the effective mechanical behaviour of a onedimensional, biphasic, linear and microperiodic composite, which both phases are modeled by the hyperelasticity with softening model (that will be called by "Volokh’s model" several times) This combination (AHM and Volokh’s model) is original of this work, in the sense that are not found similar works in current and available literature
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