Resonance of a structure with soil elastic waves released in non-linear hysteretic soil upon unloading

Piotr Kowalczyk

doi:10.2478/sgem-2022-0015

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Resonance of a structure with soil elastic waves released in non-linear hysteretic soil upon unloading

Studia Geotechnica et Mechanica

Volume 44 (2022): Issue 4 (December 2022)

By: Piotr Kowalczyk

Open Access

|Sep 2022

Figures & Tables

Geometry of numerically modelled experimental setup with a single degree of freedom (SDOF) structure: a) long side view, b) plan (dimensions in mm).

Mesh discretisation used in the 3D finite element model.

Calibration of the hypoplastic sand constitutive model in terms of shear stiffness degradation G/G0 against shear strain.

Free field response computed for the soil column with the chosen calibration of the hypoplastic sand model (Table 1): a) horizontal accelerations, b) shear strains, c) spectral response for horizontal accelerations at the soil base, d) spectral response for horizontal accelerations at the soil top, e) stress–strain behaviour.

Comparison of the computations and the experimental measurements (Durante, 2015) in free field in the steady-state response: a) horizontal accelerations, b) evaluation of the spectral response of the computed horizontal accelerations, c) evaluation of the spectral response of the horizontal accelerations in the experiment.

Comparison of relative horizontal displacements between the computations and the experimental measurements (Durante, 2015) obtained in free field in the steady-state response.

Comparison of the computations and the experimental measurements (Durante, 2015) obtained at the top of the structure in the steady-state response: a) horizontal accelerations, b) evaluation of the spectral response of the computed and measured horizontal accelerations.

Comparison of a cyclic simple shear test simulated by the hypoplastic sand model and compared with experimental data from literature (Shahnazari & Towhata, 2002): a) stress–strain behaviour (simulation), b) stress–strain behaviour (experiment), c) volumetric response (simulation), d) volumetric response (experiment).

Calibration of the model parameters for the hypoplastic sand model_

	Parameter	Description	Value
Basic hypoplastictiy	φ_c	Critical friction angle	33.0
	h_s	Granular hardness (kPa)	2.5 × 10⁶
	n	Stiffness exponent ruling pressure-sensitivity	0.42
	e_d₀	Limiting minimum void ratio at p = 0 kPa	0.613
	e_c₀	Limiting void ratio at p = 0 kPa	1.01
	e_i₀	Limiting maximum void ratio at p = 0 kPa	1.21
	α	Exponent linking peak stress with critical stress	0.13
	β	Stiffness exponent scaling barotropy factor	0.8
Intergranular strain concept	R	Elastic range	0.00004
	m_R	Stiffness multiplier	4.0
	m_T	Stiffness multiplier after 90° change in strain path	2.0
	β_R	Control of rate of evolution of intergranular strain	0.8
	χ	Control on interpolation between elastic and hypoplastic response	0.5
	ϑ	Control on strain accumulation	5.0

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DOI: https://doi.org/10.2478/sgem-2022-0015 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 253 - 266

Submitted on: Oct 20, 2021

Accepted on: Apr 22, 2022

Published on: Sep 22, 2022

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

finite element modelling,

earthquake engineering,

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2022 Piotr Kowalczyk, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 44 (2022): Issue 4 (December 2022)

Resonance of a structure with soil elastic waves released in non-linear hysteretic soil upon unloading

Figures & Tables

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Figure A1

Calibration of the model parameters for the hypoplastic sand model_

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