Elastic‐Plastic‐Softening Analysis of Plane Frames

Darvall, Peter LePoer; Mendis, Priyan

doi:10.1061/(asce)0733-9445(1985)111:4(871)

Cited by 42 publications

(19 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This approach contrasts with those formulations, including a plastic hinge, in which strain softening occurs in zones with a finite length, see e.g. Darvall [6], Darvall and Mendis [7], Bažant et al [8,9], Sanjayan and Darvall [10].…”

Section: Introductionmentioning

confidence: 94%

“…For this purpose, the virtual strains of the first term are replaced analogous to Equation (7). Subsequently, each single component of the expressions is integrated by parts.…”

Section: Kinematic Description Of the Beammentioning

confidence: 99%

“…For this purpose, a more practical clamped portal frame under vertical load, first studied in [7], is considered. The geometry of the so-called Darvall-Mendis frame is shown in Figure 14.…”

Section: Comparison With the Classical Hinge Theory-darvall-mendis Framementioning

confidence: 99%

See 2 more Smart Citations

Efficient finite element formulation for the analysis of localized failure in beam structures

Wackerfuß

2007

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThis paper presents a finite element formulation for the analysis of localized failures in beam structures. Each member is considered to be a prismatic body that, in case of a localized failure, is divided by a singular surface into two elastic bulks. The fracture process on this surface is described by the cohesive crack concept using a traction-separation law. A plane cross section is assumed, which implies a link between the continuous and the structural (classical beam theory) description of the beam. For the numerical treatment of the model a finite beam element exhibiting an internal interface is proposed, whereas the strong discontinuities are approximated by means of additional degrees of freedom that are placed at the centroid of the singular surface. Hence, each bulk can be described individually by a common beam element with the normal set of nodal degrees of freedom, whereas the singular surface is described layer-wise. The residuum vector and the symmetric stiffness matrix of the resulting element are obtained by assembling the contributions of the two bulks and the singular surface and afterwards by eliminating the additional degrees of freedom by a static condensation. The formulation, which does not change the global degrees of freedom, is numerically very efficient, especially in the case of extensive beam structures, and can easily be implemented in any conventional finite element code. Several numerical examples are provided to demonstrate the effectiveness and the robustness of the proposed method. The equilibrium iterations show an optimal convergence rate, even if many cracks emerge simultaneously. The results do not exhibit any artificial mesh dependencies or artificial stress-locking effects.

show abstract

Section: Introductionmentioning

confidence: 94%

“…For this purpose, the virtual strains of the first term are replaced analogous to Equation (7). Subsequently, each single component of the expressions is integrated by parts.…”

Section: Kinematic Description Of the Beammentioning

confidence: 99%

See 1 more Smart Citation

Efficient finite element formulation for the analysis of localized failure in beam structures

Wackerfuß

2007

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Tthe limitations and abilities of the joint element in modeling nonlinear adherends are shared by beam elements in general, and more in-depth discussion on these limitations and how to overcome them are dealt with extensively in literature [26][27][28][29][30][31][32][33] . The example of adherend material nonlinearity is the single lap joint shown in Figure 10, but with elasticperfectly plastic adherends.…”

Section: B Materials Nonlinearitiesmentioning

confidence: 99%

Co-rotational Formulation for Bonded Joint Finite Elements

Stapleton¹,

Waas²,

Arnold³

et al. 2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

0
0
0
0

View full text Add to dashboard Cite

Enhanced finite elements are elements with an embedded analytical solution that can capture detailed local fields, enabling more efficient mesh independent finite element analysis. In earlier research, this method was applied to adhesively bonded joints. The adherends were modeled as composite Euler-Bernoulli beams, and the adhesive layer was modeled as a bed of linear shear and normal springs. The field equations were derived using the principle of minimum potential energy, and the resulting solutions for the displacement fields were used to generate shape functions and a stiffness matrix for a single bonded joint finite element. In this study, the capability to model large rotations and non-linear adhesive constitutive behavior is developed, and progressive failure of the adhesive is modeled by remeshing the joint as the adhesive fails. The results obtained using this enhanced joint element is compared with experimental results.

show abstract

“…2,3,[14][15][16][17][18][21][22][23][24][25], by analogy with plastic limit analYSIS, !he softenmg was assumed to be localized in a hinge (a point). Let u~ examme wh~ther this simplifying assumption makes a significant dlffer~nce.…”

Section: Fig 9 Influence Of Relative Length and Spring Constant On mentioning
confidence: 99%

Ductility, Snapback, Size Effect, and Redistribution in Softening Beams or Frames
Bažant
¹
,
Pijaudier‐Cabot
²
,
Pan
³

1987
J. Struct. Eng.
34
0
5
0
View full text Add to dashboard Cite

A layered finite element model with strain-softening material properties, whose applicability to reinforced concrete was corroborated by comparisons with experimental data in the preceding paper, is used in a parametric study aimed at the effect of several factors: structure size, finite element size, downward sl9pe of strain-softening stress-strain relation, length of the plastic yield plateau before the onset of strain softening (if any), and end-restraint stiffness. T() quantify t~e response, several new response characteristics are introduced: the ductile stren~h ening factor, characterizing how strain softening reduces the maximum load compared to the plastic limit load; the redistribution ratio, characterizing the degree of bending moment redistribution in comparison to that in plastic limit analysis; the energy safety factor, describing the energy to deform the structure to the peak load; and the ductility factor, characterizing the deflection increase at maximum load relative to the deflection from elastic analysis. The condition of snapback instability, which determines the ductility factor, is derived analytically for an elastically restrained beam. Finally, it is shown that strain-softening segments in beams cannot be modeled as softening hinges except for sufficiently slender beams.

show abstract

Elastic‐Plastic‐Softening Analysis of Plane Frames

Cited by 42 publications

References 8 publications

Efficient finite element formulation for the analysis of localized failure in beam structures

Efficient finite element formulation for the analysis of localized failure in beam structures

Co-rotational Formulation for Bonded Joint Finite Elements

Ductility, Snapback, Size Effect, and Redistribution in Softening Beams or Frames

Contact Info

Product

Resources

About