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Nonlinear elasticity of incompatible surface growth

In this manuscript with Lev Truskinovsky, we developed a new nonlinear theory of large-strain incompatible surface growth. Surface growth is a crucial component of many natural and artificial processes from cell proliferation to additive manufacturing. In elastic systems, surface growth is usually accompanied by the development of geometrical incompatibility leading to residual stresses and triggering various instabilities. Here we developed a nonlinear theory of incompatible surface growth which quantitatively linkes deposition protocols with post-growth states of stress.

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Catastrophic thinning of dielectric elastomers

Consider a thin dielectric plate with conducting faces: when will it break if a voltage is applied? If it is rigid it will break once its dielectric strength is overcome by the voltage. But what if it is highly stretchable, like the elastomers used for soft actuators, stretchable electronics, or energy harvesters? The precise answer to that question is not known. 

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Conference in honor of Lev Truskinovsky's 60th birthday

On behalf of the Organisers, I wish to post the following message: 

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Dear Colleagues,

We are pleased to announce

Nonconvexity, Nonlocality and Incompatibility: From Materials to Biology

Conference in honor of Lev Truskinovsky's 60th birthday 

Department of Mathematics, University of Pittsburgh

May 5-7, 2017

Conference Website: http://www.math.pitt.edu/%7Eannav/NNI17/NNIconference.html

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