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Extension of A Composite Time Integration Scheme for Dynamic Problems

Submitted by sandeep@kaiser… on

This paper proposes a simple extension to a collocation based composite time integration proposed by Silva and Bezerra. In this scheme, each time step is divided further into two substeps which may not be necessarily equal. In the first substep, the Newmark scheme is employed an d the three point backward Euler scheme is used in the second substep. The proposed scheme is applied to non-linear problems to study the transient response solution under large deformations and long time durations.

Analysis of A Composite Time Integration Scheme

Submitted by sandeep@kaiser… on

This paper proposes a simple extension to a collocation based composite time integration proposed by Silva and Bezerra. In this scheme, each time step is further divided into two substeps which may not be necessarily equal. In the first substep, the Newmark scheme is employed and the three point backward Euler scheme is used in the second substep. Stability analysis of the scheme is performed and spectral radius, period elongation, and amplitude decay are discussed. The influence of Newmark parameters and substep sizes on stability and accuracy is studied in detail.

The Weak Compatibility Equations of Nonlinear Elasticity and the Insufficiency of the Hadamard Jump Condition for Non-Simply Connected Bodies

Submitted by arash_yavari on

We derive the compatibility equations of L2 displacement gradients on non-simply-connected bodies. These compatibility equations are useful for non-smooth strains such as those associated with deformations of multi-phase materials. As an application of these compatibility equations, we study some configurations of different phases around a hole and show that, in general, the classical Hadamard jump condition is not a sufficient compatibility condition.

Curvature matters!

Submitted by Erik Bitzek on

In a recent article in Acta Materialia ("Atom probe informed simulations of dislocation-precipitate interactions reveal the importance of local interface curvature" http://www.sciencedirect.com/science/article/pii/S1359645415002268 ) we showed how the interface curvature influences dislocation - precipitate interactions.

Peptide–Graphene Interactions Enhance the Mechanical Properties of Silk Fibroin

Submitted by Jingjie Yeo on

http://pubs.acs.org/doi/abs/10.1021/acsami.5b05615 Studies reveal that biomolecules can form intriguing molecular structures with fascinating functionalities upon interaction with graphene. Then, interesting questions arise. How does silk fibroin interact with graphene? Does such interaction lead to an enhancement in its mechanical properties?

On the origins of the idea of the multiplicative decomposition of the deformation gradient

Submitted by arash_yavari on

Usually the multiplicative decomposition of deformation gradient in finite plasticity is (incorrectly) attributed to Lee and Liu (1967). This short note discusses the origins of this idea, which go back to the late 1940s. We explain that the first explicit mention of this decomposition appeared a decade earlier in the work of Bilby, et al. (1957) and Kröner (1959). While writing this note I found out that Bruce Bilby passed away a couple of years ago at the age of 91.