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Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 01/2017, Volume 98, p. 12
In this paper we formulate the initial-boundary value problems of accreting cylindrical and spherical nonlinear elastic solids in a geometric framework. It is... 
Boundary value problems | Deformation | Construction materials | Elasticity | Equilibrium equations | Geometry | Mechanics (physics) | Cylindrical bodies | Mechanics | Solids | Deposition | Residual stress | Elastic bodies
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2018, Volume 361, pp. 247 - 279
We introduce a new family of mixed finite elements for incompressible nonlinear elasticity – (CSFEMs). Based on a Hu–Washizu-type functional, we write a... 
Mixed finite element methods | Finite element exterior calculus | Hilbert complex | Nonlinear elasticity | Incompressible elasticity | Finite element method | Analysis | Methods
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 7/2013, Volume 209, Issue 1, pp. 237 - 253
Compatibility equations of elasticity are almost 150 years old. Interestingly, they do not seem to have been rigorously studied, to date, for... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | STRAINS | MECHANICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | FIELD | DEFORMATION | DOMAINS | GEOMETRY | Curvature
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 12/2010, Volume 20, Issue 6, pp. 781 - 830
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2018, Volume 361, p. 247
We introduce a new family of mixed finite elements for incompressible nonlinear elasticity – compatible-strain mixed finite element methods (CSFEMs). Based on... 
Formulations | Stresses | Stability | Computational fluid dynamics | Elasticity | Pressure | Displacement | Strain | Studies | Finite element method | Artifacts | Mathematical analysis | Kinematics | Mathematical models | Fields (mathematics) | Compatibility | Subspaces | Shear strain
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 7/2012, Volume 205, Issue 1, pp. 59 - 118
Journal Article
Mechanics Research Communications, ISSN 0093-6413, 12/2016, Volume 78, pp. 55 - 59
In this short note we find the stress field of a wedge dispiration (a combination of a screw dislocation and a wedge dislocation along the same line) in an... 
Nonlinear elasticity | Screw dislocation | Dispiration | Wedge disclination | Defects | MECHANICS | GEOMETRY | Mechanical engineering | Green technology
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 11/2015, Volume 471, Issue 2183, pp. 1 - 16
Eigenstrains in nonlinear elastic solids are created through defects, growth or other anelastic effects. These eigenstrains are known to be important as they... 
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 02/2020, Volume 135, p. 103782
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 10/2019, Volume 234, Issue 1, pp. 211 - 316
Journal Article
Mathematics and Mechanics of Solids, ISSN 1081-2865, 7/2017, Volume 22, Issue 7, pp. 1546 - 1587
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 9/2014, Volume 470, Issue 2169, pp. 1 - 21
The geometrical formulation of continuum mechanics provides us with a powerful approach to understand and solve problems in anelasticity where an elastic... 
Geometry | Thermal stress | Riemann manifold | Point defects | Fracture mechanics | Deformation | Elasticity | Anelasticity | Density | Residual stress
Journal Article
International Journal of Control, ISSN 0020-7179, 05/2019, pp. 1 - 3
Journal Article
Heart, ISSN 1355-6037, 06/2017, Volume 103, Issue Suppl 5, pp. A76 - A76
BackgroundGuidelines from the European Society of Cardiology (ESC) summarise the best available evidence in the management of cardiac disease. These guidelines... 
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 8/2019, Volume 29, Issue 4, pp. 1813 - 1863
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2013, Volume 259, pp. 130 - 153
In this paper, we present a geometric discretization scheme for incompressible linearized elasticity. We use ideas from discrete exterior calculus (DEC) to... 
Finite element method | Manifolds | Construction | Discretization | Mathematical analysis | Mathematical models | Polynomials | Displacement
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 12/2012, Volume 468, Issue 2148, pp. 3902 - 3922
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 12/2013, Volume 469, Issue 2160, pp. 1 - 22
We introduce a geometric framework to calculate the residual stress fields and deformations of nonlinear solids with inclusions and eigenstrains. Inclusions... 
Geometry | Compression bandages | Riemann manifold | Hydrostatics | Deformation | Stress fields | Residual stress | Symmetry | Elastic bodies
Journal Article
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