Parametric shape optimization of biaxial tensile specimen

Bauer, Julian Karl; Priesnitz, Konstantin; Schemmann, Malte; Brylka, Barthel; Böhlke, Thomas

doi:10.1002/pamm.201610068

Cited by 8 publications

(6 citation statements)

References 6 publications

(7 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Numerous alternatives have been raised mainly in the past two decades, usually opting to analyse the geometry through numerical simulations based on FEM. These studies may be initially classified in two groups: studies that try to devise geometries with parametric variations of certain dimensions and geometrical features [16,63,64,97], and works focused on shape optimisation [65,98,99]. In any case, the geometries resulting from these studies share similar characteristics that are discussed throughout this section.…”

Section: Specimen Designmentioning

confidence: 99%

Advances in Cruciform Biaxial Testing of Fibre-Reinforced Polymers

Muñoz

Moreno

2022

Polymers

View full text Add to dashboard Cite

The heterogeneity and anisotropy of fibre-reinforced polymer matrix composites results in a highly complex mechanical response and failure under multiaxial loading states. Among the different biaxial testing techniques, tests with cruciform specimens have been a preferred option, although nowadays, they continue to raise a lack of consensus. It is therefore necessary to review the state of the art of this testing methodology applied to fibre-reinforced polymers. In this context, aspects such as the specific constituents, the geometric design of the specimen or the application of different tensile/compressive load ratios must be analysed in detail before being able to establish a suitable testing procedure. In addition, the most significant results obtained in terms of the analytical, numerical and experimental analyses of the biaxial tests with cruciform specimens are collected. Finally, significant modifications proposed in literature are detailed, which can lead to variants or adaptations of the tests with cruciform specimens, increasing their scope.

show abstract

Section: Specimen Designmentioning

confidence: 99%

Advances in Cruciform Biaxial Testing of Fibre-Reinforced Polymers

Muñoz

Moreno

2022

Polymers

View full text Add to dashboard Cite

show abstract

“…A gradient-based optimization algorithm has been used by Makris et al, 9 in order to optimize the shape of a specimen for biaxial tensile tests of composites. Genetic Algorithms have been used by Bauer et al, 10 in order to optimize the shape of test specimens for sheet molding compounds. Recently, Yang et al 11 used Genetic Algorithms for a two-objective optimization of a cruciform test specimen with the aim of maximizing the stress level and minimizing the stress inhomogeneity in the specimen center.…”

Section: Introductionmentioning

confidence: 99%

Numerical optimization-based design studies on biaxial tensile tests

Dexl

Hauffe

Markmiller

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Biaxial tensile tests are of great significance for the characterization of materials. For ductile materials, they allow the representation of the yield strength curve separating elastic and plastic material behavior. Contrary demands regarding the specimen design arise, if a biaxial stress state with the equivalent stress equal or close to the yield strength shall be obtained. On one hand, the specimen shall be of constant thickness and stiffness, in order to allow an unconstrained deformation without undesired lateral strains. On the other hand, stress concentrations arising from the load introduction make a thickened border region necessary, in order to avoid a premature failure of the specimen. The present paper addresses this problem by a multi-objective structural optimization using Evolutionary Algorithms. Well-defined parametric models of biaxial tensile test specimens allow to systematically investigate the influence of the thickness distribution and the sizing of the border region. Additionally, the influence of actuators of constant force compared to actuators of constant displacement are quantified. In all cases, the minimization of the stress difference as well as the actuation effort are considered as objectives. The results allow a deep insight to the optimal definition of biaxial tensile test specimens and are summed up in well-defined design proposals.

show abstract

“…Parametric shape optimisation is a subset of shape optimisation that specifically focuses on varying a predefined set of geometric parameters to optimise the design's performance. In parametric shape optimization, the design space is constrained to a set of parameters that control the geometry, such as dimensions, angles, curves, filet radius, and other geometric attributes [24,25]. Tancogne-Dejean and Mohr [26] compared the performance of BCC structures composed of beams of a uniform thickness with the performance of BCC structures composed of tapered beams in terms of stiffness and specific energy absorption properties.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Parametric Shape Optimisation of Body-Centred Cubic Lattice Structures for Additive Manufacturing

Ali,

Abdi

2023

JMMP

View full text Add to dashboard Cite

There has been significant interest in additively manufactured lattice structures in recent years due to their enhanced mechanical and multi-physics properties, making them suitable candidates for various applications. This study presents a multi-parameter implicit equation model for designing body-centred cubic (BCC) lattice structures. The model is used in conjunction with a multi-objective genetic algorithm (MOGA) approach to maximise the stiffness of the BCC lattice structure while minimising von-Mises stress within the structure under a specific loading condition. The selected design from the MOGA at a specific lattice density is compared with the classical BCC lattice structure and the designs generated by a single-objective genetic algorithm, which focuses on maximising stiffness or minimising von-Mises stress alone. By conducting a finite element analysis on the optimised samples and performing mechanical testing on the corresponding 3D-printed specimens, it was observed that the optimised lattice structures exhibited a substantial improvement in mechanical performance compared to the classical BCC model. The suitability of multi-objective and single-objective optimisation approaches for designing lattice structures was further investigated by comparing the corresponding designs in terms of their stiffness and maximum von-Mises stress values. The results from the numerical analysis and experimental testing demonstrate the significance of the application of an appropriate optimisation strategy for designing lattice structures for additive manufacturing.

show abstract

Parametric shape optimization of biaxial tensile specimen

Cited by 8 publications

References 6 publications

Advances in Cruciform Biaxial Testing of Fibre-Reinforced Polymers

Advances in Cruciform Biaxial Testing of Fibre-Reinforced Polymers

Numerical optimization-based design studies on biaxial tensile tests

Multi-Objective Parametric Shape Optimisation of Body-Centred Cubic Lattice Structures for Additive Manufacturing

Contact Info

Product

Resources

About