A review of size-dependent continuum mechanics models for micro-and nano-structures
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …
debate, which leads to a fundamental question: what steps can be taken to investigate the …
Peridynamics review
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …
[PDF][PDF] 近场动力学方法及其应用
黄丹， 章青， 乔丕忠， 沈峰 - 力学进展, 2010 - lxjz.cstam.org.cn
近场动力学方法及其应用* Page 1 第40 卷第4 期 力学进展 Vol. 40 No. 4 2010 年7 月25 日
ADVANCES IN MECHANICS July 25, 2010 近场动力学方法及其应用* 黄丹1,2,† 章青1,2 乔丕忠 …
ADVANCES IN MECHANICS July 25, 2010 近场动力学方法及其应用* 黄丹1,2,† 章青1,2 乔丕忠 …
Dual-horizon peridynamics: A stable solution to varying horizons
In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …
Dual‐horizon peridynamics
In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …
[HTML][HTML] Discrete mechanical models of concrete fracture
Discrete models of solids have been motivated, in large part, by the discontinuous and
heterogeneous nature of material structure and its breakdown under loading. The …
heterogeneous nature of material structure and its breakdown under loading. The …
Peridynamic theory of solid mechanics
SA Silling, RB Lehoucq - Advances in applied mechanics, 2010 - Elsevier
Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …
continuous distribution of mass within a body and all internal forces are contact forces that …
A meshfree method based on the peridynamic model of solid mechanics
SA Silling, E Askari - Computers & structures, 2005 - Elsevier
An alternative theory of solid mechanics, known as the peridynamic theory, formulates
problems in terms of integral equations rather than partial differential equations. This theory …
problems in terms of integral equations rather than partial differential equations. This theory …
Peridynamic states and constitutive modeling
SA Silling, M Epton, O Weckner, J Xu, E Askari - Journal of elasticity, 2007 - Springer
A generalization of the original peridynamic framework for solid mechanics is proposed. This
generalization permits the response of a material at a point to depend collectively on the …
generalization permits the response of a material at a point to depend collectively on the …
The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics
Y Wang, X Zhou, Y Shou - International Journal of Mechanical Sciences, 2017 - Elsevier
In this paper, crack propagation and coalescence behaviors in rock specimens containing
pre-existing open flaws under uniaxial compression are investigated using the novel …
pre-existing open flaws under uniaxial compression are investigated using the novel …