The sliding inclusion under shear

Jasiuk, Iwona; Tsuchida, Eiichiro; Mura, T.

doi:10.1016/0020-7683(87)90003-5

Cited by 56 publications

(16 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The free-sliding model allows for relative slip in the tangential direction of the inclusion, but a displacement jump in the normal direction at the interface is not permitted. Physically, the free-sliding model may represent grain boundary sliding in polycrystals, the behavior of precipitates at high temperature, or imperfectly bonded interfaces in composite materials (Ghahremani, 1980;Jasiuk et al, 1987;Mura and Furuhashi, 1984). On the other hand, in the linear-spring model, the imperfection of interface is represented as the discontinuity of the displacement field across the interface (Aboudi, 1987;Duan et al, 2005Duan et al, , 2007aDuan et al, , 2007bGao, 1995;Hashin, 1991;Pyo, 2007, 2008;Qu, 1993aQu, , 1993bYanase and Ju, 2012;Zhong and Meguid, 1997).…”

Section: Introductionmentioning

confidence: 99%

Overall elastoplastic damage responses of spherical particle-reinforced composites containing imperfect interfaces

Yanase

2013

International Journal of Damage Mechanics

View full text Add to dashboard Cite

As a predominant damage mode, the interfacial damage between the reinforcements and the matrix is of importance for the composite materials. Correspondingly, in this paper, the effects of imperfect interfaces are systematically investigated in the framework of higher order micromechanics and homogenization. To examine the effects of imperfect interfaces, the equivalent stiffness of reinforcing particles is considered based on the spring interface model. By taking advantage of the equivalent stiffness, the effective stiffness and the effective yield function of a composite are systematically derived to study the overall elastoplastic damage behaviors of particle-reinforced composites. In the absence of damage, comparisons between the theoretical predictions and the available experimental data are presented to illustrate the predictive capability of proposed micromechanical framework. Subsequently, a series of parametric studies are performed to examine the characteristics of the proposed micromechanicsbased damage formulation.

show abstract

Section: Introductionmentioning

confidence: 99%

Overall elastoplastic damage responses of spherical particle-reinforced composites containing imperfect interfaces

Yanase

2013

International Journal of Damage Mechanics

View full text Add to dashboard Cite

show abstract

“…In fact, taking i = 1, 2 in the third equation of Eq. (1), one has σ I 1 j n j = σ I jk n j n k n 1 σ I 2 j n j = σ I jk n j n k n 2 (6) respectively. Multiplying the first equation in Eq.…”

Section: Decomposition Of the Problem Of Sliding Ellipsoidal/ellipticmentioning

confidence: 98%

“…Using the Papkovich-Neuber displacement potentials in the form of infinite series, Mura et al [18] and Jasiuk et al [6] studied the sliding spheroidal inclusions with uniform shear eigenstrains and non-shear eigenstrains, respectively. Both of the papers presented numerical examples of non-uniform eigenstresses induced in the inclusions and reached the conclusion that the stresses in the problem concerned were not constant.…”

mentioning

confidence: 99%

The Eshelby property of sliding inclusions

Xu¹,

Mueller²,

Wang³

2009

Arch Appl Mech

View full text Add to dashboard Cite

The present paper solves the problem of sliding ellipsoidal/elliptical inclusion with the Eshelby property. Results show that the sliding ellipsoidal/elliptical inclusions can have uniform eigenstresses if the prescribed uniform eigenstrains fulfill certain prerequisites. Solutions and prerequisites are obtained for ellipsoidal and elliptical inclusions, respectively. It is shown that the eligible uniform eigenstrains inducing uniform eigenstresses can be shear or non-shear eigenstrains, depending on the geometric shape and the material constants of the inclusion. The study indicates that inclusions of degenerated form, like spheroids, spheres and circles, may also maintain uniform eigenstresses. At last, the corresponding discussion for the inhomogeneous sliding inclusion problem with both eigenstrain and remote loading is also given.

show abstract

“…Thus, this paper aims at developing an alternative inclusion method adapted to sliding inclusions and that takes into account plastic dissipation at the interface. The significance of sliding inclusions on the elastic energy when considering phase transitions was already investigated by Tsuchida et al (1986) and Mura et al (1985); Jasiuk et al (1987) for perfectly sliding inclusions in two and three dimensions respectively. More precisely, continuity of normal traction and normal displacements at the inclusion/matrix interface is verified as well as a condition of vanishing shear traction.…”

Section: Introductionmentioning

confidence: 99%

Energetic approach for a sliding inclusion accounting for plastic dissipation at the interface, application to phase nucleation

Bluthé¹,

Weisz-Patrault

Ehrlacher³

2017

International Journal of Solids and Structures

View full text Add to dashboard Cite

The energy gained at the atomic scale by modifying the crystal lattice during phase nucleation is an important aspect to study solid-solid phase transitions. However at the scale of continuum mechanics, the eigenstrain introduced by the geometrical transformation in the newly formed phase is also a significant issue. Indeed, it is responsible for very large elastic energy and dissipation that have to be added to the total energy in order to determine if a phase transition can occur. The eigenstrain can cause sliding of the newly formed grain. In this paper, an analytical solution coupled with numerical energetic optimization is derived to solve the problem of a two-dimensional circular elastic sliding inclusion authorizing plastic dissipation at the interface. Numerical calculations under plane stress assumption show that dissipation enables an effective decrease in the energy needed for the phase transformation to occur. The solution is validated with a comparison with a Finite Element simulation.

show abstract

The sliding inclusion under shear

Cited by 56 publications

References 6 publications

Overall elastoplastic damage responses of spherical particle-reinforced composites containing imperfect interfaces

Overall elastoplastic damage responses of spherical particle-reinforced composites containing imperfect interfaces

The Eshelby property of sliding inclusions

Energetic approach for a sliding inclusion accounting for plastic dissipation at the interface, application to phase nucleation

Contact Info

Product

Resources

About