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Benchmarks for computation contact Mechanics. A collection of problems.

Submitted by vacary on

Dear colleagues,

I would like to draw your attention to a recent work we have been doing to set up a library of examples of discrete one-sided contact problems with Coulomb friction. 

The collection of problems can be found here https://github.com/FrictionalContactLibrary/fclib-library  and the C API for writing and listing these files here:

https://github.com/FrictionalContactLibrary/fclib

Universality in Anisotropic Linear Anelasticity

Submitted by arash_yavari on

In linear elasticity, universal displacements for a given symmetry class are those displacements that can be maintained by only applying boundary tractions (no body forces) and for arbitrary elastic constants in the symmetry class. In a previous work, we showed that  the larger the symmetry group, the larger the space of universal displacements. Here, we generalize these ideas to the case of anelasticity. In linear anelasticity, the total strain is additively decomposed into elastic strain and anelastic strain, often referred to as an eigenstrain.

Direct 4D printing for double-curvature and multimodal morphing

Submitted by Joshua on

Most 4D printings utilize 1D structural deformation — bending and coiling to morph a flat shape by controlling only a single curvature, limiting the realization of complex 3D curved surfaces with two curvatures. We quantitatively analyze the morphing of a 2D plate into doubly curved surfaces on a direct 4D printing of a single isotropic material employing anisotropy of shape memory effect during the extrusion-based printing.

A compatible mixed finite element method for large deformation analysis of solids in spatial configuration

Submitted by M. Jahanshahi on

In this work, a new mixed finite element formulation is presented for the analysis of two-dimensional compressible solids in finite strain regime. A three-field Hu-Washizu functional, with displacement, displacement gradient and stress tensor considered as independent fields, is utilized to develop the formulation in spatial configuration. Certain constraints are imposed on displacement gradient and stress tensor so that they satisfy the required continuity conditions across the boundary of elements.

The Universal Program of Nonlinear Hyperelasticity

Submitted by arash_yavari on

For a given class of materials, universal deformations are those that can be maintained in the absence of body forces by applying only boundary tractions.  Universal deformations play a crucial role in nonlinear elasticity.

Multiscale modeling of viscoelastic behavior of unidirectional composite laminates and deployable structures

Submitted by Jinxiong Zhou on

Due to the inherent viscoelasticity of constituent matrix and the possibility of long-term storage, space deployable structures made of composites are likely to exhibit relaxation in the stored strain energy, which may degrade their deployment performance. This paper presents a bottom-up finite element based multiscale computational strategy that bridges the experimentally measurable properties of constituent fibers and matrix to numerical predictions of viscoelastic behavior of composite laminates and general shell structures.