柔性梁大变形计算的一种新方法

研究了柔性梁大变形问题。常规Lagrangian有限元格式在处理大变形问题时,由于其单元插值函数不满足位移场的协调性要求,从而需要划分较多的单元,才能得到较好的结果。本文首先推导了Lagrangian坐标描述下的位移场变量满足的协调关系式,利用此关系式给出了位移场协调的非线性单元插值函数。基于虚功原理导出了梁大变形问题的非线性控制方程,数值计算结果证明了本文方法的正确性和有效性。     

Interfacial deformation of confined photocurable fluid for fabrication of shape-imprinted microspheres

This study presents a simple route to fabricate shape imprinted microspheres and their application toward multiplex immunoassay. Specifically, a photocurable fluid (polyethylene glycol diacrylate, [PEGDA]) confined in a micromold results in drop formation due to mold swelling and capillarity upon addition of immiscible wetting fluid; during this formation, part of the photocurable fluid is entrapped at the swollen open end, thereby producing polymeric microspheres with controlled imprinted shapes on their surface upon photopolymerization. This approach is able to produce highly uniform microspheres with different imprinted shapes depending on mold geometry in a consistent manner; their size can also be tuned by varying mold dimensions. Furthermore, we impart amine-reactive functional groups to the microsphere, which allows them to be functionalized efficiently. Lastly, we conjugate different capture antibodies on microspheres with different imprinted shapes, and these microspheres were demonstrated to be shape-encoded suspension arrays for multiplex immunoassays. This technique provides high selectivity and a simple decoding method for biosensing applications.     

一种计入横向剪切变形的各向异性板弯曲分析新方法

本文提出一种各向异性板弯曲分析新方法,既考虑了横向剪切变形影响,又具有经典理论的简明性,易被工程人员接受。算例表明,本文方法分析精度较高。     

柱面扁壳的非线性数值分析

本文研究了柱面扁壳在均布荷载作用下的大变形弯曲问题。首先导出了位移型非线性控制微分方程,然后结合两种边界情况(简支与固定)给出了用正交配点法进行解算的详细公式。     

On the Weyl symbol of the resolvent of the harmonic oscillator

We compute the Weyl symbol of the resolvent of the harmonic oscillator and study its properties.     

On some examples of obstructed irregular surfaces

We determine the base space of the Kuranishi family of some complete intersections in the product of an abelian variety and a projective space.As a consequence,we obtain new examples of obstructed irregular surfaces with ample canonical bundle and maximal Albanese dimension.     

Computable upper bounds for the constants in Poincaré‐type inequalities for fields of bounded deformation

We collect various Poincaré‐type inequalities valid for fields of bounded deformation and give explicit upper bounds for the constants being involved. Copyright © 2011 John Wiley & Sons, Ltd.     

A Remark on Formal KMS States in Deformation Quantization

Within the framework of deformation quantization, we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[]]-linear functionals obeying a formal variant of the usual KMS condition known in the theory of C^*-algebras. We show that for each temperature KMS states always exist and are up to a normalization equal to the trace of the argument multiplied by a formal analogue of the usual Boltzmann factor, a certain formal star exponential.