Implementation of a physics-based general elastic imperfect interface model in the XFEM and LSM context

2018 ◽  
Vol 115 (12) ◽  
pp. 1499-1525 ◽  
Author(s):  
J.-T. Liu ◽  
B. He ◽  
S.-T. Gu ◽  
Q.-C. He
Keyword(s):  
Imperfect Interface ◽  
Interface Model

scholarly journals Multiscale Analysis of Elastic Properties of Nano-Reinforced Materials Exhibiting Surface Effects. Application for Determination of Effective Shear Modulus

2020 ◽  
Vol 4 (4) ◽  
pp. 172 ◽  
Author(s):  
Tien-Thinh Le
Keyword(s):  
Shear Modulus ◽  
Multiscale Analysis ◽  
Surface Effect ◽  
Surface Effects ◽  
Imperfect Interface ◽  
Explicit Calculation ◽  
Interface Model ◽  
Effective Shear Modulus ◽  
Reinforced Materials

This work concerns a multiscale analysis of nano-reinforced heterogeneous materials. Such materials exhibit surface effects that must be taken into account in the homogenization procedure. In this study, a coherent imperfect interface model was employed to characterize the jumps of mechanical properties through the interface region between the matrix and the nanofillers. As the hypothesis of scale separation was adopted, a generalized self-consistent micromechanical scheme was employed for the determination of the homogenized elastic moduli. An explicit calculation for the determination of effective shear modulus is presented, together with a numerical application illustrating the surface effect. It is shown that the coherent imperfect interface model is capable of exploring the surface effect in nano-reinforced materials, as demonstrated experimentally in the literature.

scholarly journals Experimental Testing and Analytical Modeling of Asymmetric End-Notched Flexure Tests on Glass-Fiber Metal Laminates

Metals ◽  
2019 ◽  
Vol 10 (1) ◽  
pp. 56 ◽  
Author(s):  
Konrad Dadej ◽  
Jarosław Bieniaś ◽  
Paolo Sebastiano Valvo
Keyword(s):  
Glass Fiber ◽  
Experimental Testing ◽  
Metal Composite ◽  
Interface Model ◽  
Experimental Campaign ◽  
Composite Interface ◽  
Theoretical Predictions ◽  
Elastic Interface ◽  
Fiber Metal ◽  
Rigid Interface

An experimental campaign on glass-fiber/aluminum laminated specimens was conducted to assess the interlaminar fracture toughness of the metal/composite interface. Asymmetric end-notched flexure tests were conducted on specimens with different fiber orientation angles. The tests were also modeled by using two different analytical solutions: a rigid interface model and an elastic interface model. Experimental results and theoretical predictions for the specimen compliance and energy release rate are compared and discussed.

scholarly journals A note on the exact boundary controllability for an imperfect transmission problem

2021 ◽  
Author(s):  
S. Monsurrò ◽  
A. K. Nandakumaran ◽  
C. Perugia
Keyword(s):  
Exact Controllability ◽  
Dirichlet Condition ◽  
Adjoint Problem ◽  
Imperfect Interface ◽  
External Boundary ◽  
Exact Boundary Controllability ◽  
Multipliers Method ◽  
Exact Boundary ◽  
Hilbert Uniqueness Method ◽  
Uniqueness Method

AbstractIn this note, we consider a hyperbolic system of equations in a domain made up of two components. We prescribe a homogeneous Dirichlet condition on the exterior boundary and a jump of the displacement proportional to the conormal derivatives on the interface. This last condition is the mathematical interpretation of an imperfect interface. We apply a control on the external boundary and, by means of the Hilbert Uniqueness Method, introduced by J. L. Lions, we study the related boundary exact controllability problem. The key point is to derive an observability inequality by using the so called Lagrange multipliers method, and then to construct the exact control through the solution of an adjoint problem. Eventually, we prove a lower bound for the control time which depends on the geometry of the domain, on the coefficients matrix and on the proportionality between the jump of the solution and the conormal derivatives on the interface.

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