Residual Stresses in Plastic Random Systems

Alava, MJ; Karttunen, Mikko; Niskanen, Kaarlo

doi:10.1209/0295-5075/32/2/009

Cited by 3 publications

(3 citation statements)

References 10 publications

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“…Here, we state that at the end the load history will leave the material with a local irreversible strain (field) ǫ pl . In equilibrium (if ever reachable), this results in internal stresses that need to be balanced, and this creates corresponding "as such" elastic strains to maintain the compatibility of local internal stresses: ǫ el,comp [34]. In addition, we have the leftover, the free elastic strain ǫ el,f ree which is a function of space and time, and it is the one that actually relaxes away and is being measured in the recovery.…”

Section: Fitting a Landscape Modelmentioning

confidence: 99%

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Relaxation of creep strain in paper

Mustalahti¹,

Rosti

Koivisto

et al. 2010

J. Stat. Mech.

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In disordered, viscoelastic or viscoplastic materials a sample response exhibits a recovery phenomenon after the removal of a constant load or after creep. We study experimentally the recovery in paper, a quasi two-dimensional system with intrinsic structural disorder. The deformation is measured by using the digital image correlation (DIC) method. By the DIC we obtain accurate displacement data and the spatial fields of deformation and recovered strains. The averaged results are first compared to several heuristic models for in particular viscoelastic polymer materials. The most important experimental quantity is the permanent creep strain, and we analyze whether it is non-zero by fitting the empirical models of viscoelasticity. We then present in more detail the spatial recovery behavior results from DIC, and show that they indicate a power-law -type relaxation. We outline results on sample-tosample variation and collective, spatial fluctuations in the recovery behaviour. An interpretation is provided of the relaxation in the general context of glassy, interacting systems with barriers.

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Section: Fitting a Landscape Modelmentioning

confidence: 99%

“…Here, we state that at the end the load history will leave the material with a local irreversible strain (field) pl . In equilibrium (if ever reachable), this results in internal stresses that need to be balanced, and this creates elastic strains to maintain the compatibility of local internal stresses: el,comp [34].…”

Section: Fitting a Landscape Modelmentioning

confidence: 99%

Relaxation of creep strain in paper

Mustalahti¹,

Rosti

Koivisto

et al. 2010

J. Stat. Mech.

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show abstract

“…Various criteria for element removal have been investigated, including critical elastic stress, strain, or energy [21,23,29], and less deterministic approaches [37][38][39]. LSMs are predominantly associated with the simulation of brittle fracture, although attempts to include plasticity have been made [40][41][42][43]. Plasticity is commonly associated with the springs however, resulting in intrinsically anisotropic plastic deformations which do not conserve volume.…”

Section: Introductionmentioning

confidence: 99%

A lattice spring model of heterogeneous materials with plasticity

Buxton¹,

Care²,

Cleaver³

2001

Modelling Simul. Mater. Sci. Eng.

169

166

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A three dimensional lattice spring model of a heterogeneous material is presented. For small deformations, the model is shown to recover the governing equations for an isotropic elastic medium. The model gives reasonable agreement with theoretical predictions for the elastic fields generated by a spherical inclusion, although for small particle sizes the discretisation of the underlying lattice causes some departures from the predicted values. Plasticity is introduced by decreasing the elastic moduli locally whilst maintaining stress continuity. Results are presented for a spherical inclusion in a plastic matrix and are found to be in good agreement with predictions of Wilner [1].

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