Unifying relations in polymer photomechanics

Photoresponsive polymers offer novel methods for morphing applications due to its unique ability to control shape spatially and temporally with light. The constitutive behavior of these materials is complicated by the interactions of time-dependent light fields and molecular conformation changes within the polymer network. This requires applications in non-equilibrium thermodynamics, nonlinear photomechanics, and high fidelity numerical simulations using finite difference/finite element methods. The proposed approach utilizes a set of electronic order parameters to represent light driven molecular conformation changes which are coupled to mechanics of a continuum scale polymer network and time-dependent electromagnetics. The model is applied to explain photoisomerization of azobenzene as it deforms a polymer during different types of light excitation. We consider local surface deformation from laser beams including linearly and circularly polarized lights where the azobenzene liquid crystal microstructure couples to affine deformation of the host polymer network. This local deformation from a laser beam is compared to homogeneous polarized light across the surface of a cantilever film. Non-trivial deformation is predicted and the internal mechanisms associated with bending in different directions is discussed.

[1]  Lorenzo Marrucci,et al.  Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination , 2012, Nature Communications.

[2]  G. Heinrich,et al.  Microscopic theory of light-induced deformation in amorphous side-chain azobenzene polymers. , 2009, The journal of physical chemistry. B.

[3]  Y. Gaididei,et al.  Theory of photoinduced deformation of molecular films , 2002 .

[4]  Martin A. Green,et al.  Solar Energy Conversion Toward 1 Terawatt , 2008 .

[5]  R. Vaia,et al.  Polarization-controlled, photodriven bending in monodomain liquid crystal elastomer cantilevers , 2009 .

[6]  P. Landsberg,et al.  Thermodynamic energy conversion efficiencies , 1980 .

[7]  Tomiki Ikeda,et al.  Smart Light-Responsive Materials , 2009 .

[8]  Jakob Wirz,et al.  Photochemistry of Organic Compounds , 2009 .

[9]  M. Scully,et al.  The Quantum Theory of Light , 1974 .

[10]  Martin L. Dunn,et al.  Photomechanics of mono- and polydomain liquid crystal elastomer films , 2007 .

[11]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[12]  J. Taylor Electric, Optic and Acoustic Interactions in Dielectrics , 1980 .

[13]  Nelson V. Tabiryan,et al.  Optical Tuning of the Reflection of Cholesterics Doped with Azobenzene Liquid Crystals , 2007 .

[14]  K. M. Lee,et al.  Photomechanical bending mechanics of polydomain azobenzene liquid crystal polymer network films , 2012 .

[15]  Gerhard A. Holzapfel,et al.  Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .

[16]  John W. Cahn,et al.  On Spinodal Decomposition , 1961 .

[17]  K. M. Lee,et al.  trans–cis and trans–cis–trans Microstructure Evolution of Azobenzene Liquid‐Crystal Polymer Networks , 2012 .

[18]  S.,et al.  Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media , 1966 .

[19]  Kunihiro Ichimura,et al.  Factors affecting in-plane and out-of-plane photoorientation of azobenzene side chains attached to liquid crystalline polymers induced by irradiation with linearly polarized light , 2000 .

[20]  K. M. Lee,et al.  Photomechanical mechanism and structure-property considerations in the generation of photomechanical work in glassy, azobenzene liquid crystal polymer networks , 2012 .

[21]  Martin L. Dunn,et al.  Photomechanics of light-activated polymers , 2009 .

[22]  Nelson Momentum, pseudomomentum, and wave momentum: Toward resolving the Minkowski-Abraham controversy. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[23]  J. Bin,et al.  Controlling Microstructure and Polymer Deformation with Polarized Light in Liquid Crystal Polymer Networks , 2015 .

[24]  Søren Hvilsted,et al.  Photoinduced deformation of azobenzene polyester films , 2000 .

[25]  R. Lovrien,et al.  The photoviscosity effect. , 1967, Proceedings of the National Academy of Sciences of the United States of America.

[26]  William S. Oates,et al.  Thermodynamics and nonlinear mechanics of materials with photoresponsive microstructure , 2014, Smart Structures.

[27]  Richard S. Quimby,et al.  Photonics and Lasers: An Introduction , 2006 .

[28]  Nelson V. Tabiryan,et al.  Liquid crystalline polymer cantilever oscillators fueled by light , 2010 .

[29]  M. Dunn,et al.  Thermodynamics and mechanics of photochemcially reacting polymers , 2013 .

[30]  L. E. Malvern Introduction to the mechanics of a continuous medium , 1969 .

[31]  Nirmal K. Viswanathan,et al.  Surface relief structures on azo polymer films , 1999 .