# S. SchnablUniversity of Ljubljana · Department of Technical Safety

S. Schnabl

ph.d.

## About

47

Publications

35,861

Reads

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646

Citations

Citations since 2017

Introduction

Additional affiliations

October 2015 - present

## Publications

Publications (47)

This paper focuses on the development of a new mathematical model and its analytical solution for the analysis of finger-jointed Timoshenko–Ehrenfest glulam beams with interlaminar debonding and finger joint (FJ) flexibility. Consequently, an analytical solution for the mechanical behavior of finger-jointed elastic Timoshenko–Ehrenfest glulam beams...

The paper presents the analytical model of a linear two-layer composite beam with partially debonded interlayer contact. The interlayer contact may be also locally fully debonded. The two-dimensional model is materially and geometrically linear, and the governing equations are based on Reissner beam theory. In the partially debonded interlayer cont...

This paper focuses on development of a new mathematical model and its analytical solution for the buckling analysis of elastic columns with preexisted longitudinal cracks and finite adhesion between the cracked sections. Consequently, the analytical solution for the buckling loads is derived for the first time. The critical buckling loads are calcu...

This paper focuses on development of a new mathematical model and its analytical solution for the buckling analysis of elastic longitudinally cracked columns with finite axial adhesion between the cracked sections. Consequently, the analytical solution for buckling loads is derived for the first time. The critical buckling loads are calculated for...

This paper presents a new mathematical model for analytical investigation of global buckling behavior of slender concrete-filled steel tubular (CFST) columns with circumferential gaps and partial debonding between the concrete core and the steel tube. The analytical buckling load of circular and slender CFST columns with circumferential gaps and pa...

This paper focuses on development of a new mathematical model and its analytical solution for buckling analysis of elastic columns weakened simultaneously with transverse open cracks and partial longitudinal delamination. Consequently, the analytical solution for buckling loads is derived for the first time. The critical buckling loads are calculat...

This paper focuses on the development of a new mathematical model and its analytical solution for the analysis of the mechanical behavior of geometrically and materially linear three-dimensional two-layer bimetallic beams with interface compliance. Consequently, the analytical solution of bending of elastic three-dimensional two-layer composite bea...

A natural smoke and heat transfer ventilation is simulated and analyzed through various ceiling vent-shapes. Different ceiling vent-shapes (square (S), circular (C) and triangular (T) ) are positioned at the center of the ceiling. The origin of fire source is placed in the centre and the corner of the floor area. The area of the horizontal vent-sha...

This paper presents an exact model for studying the global buckling of concrete-filled steel tubular (CFST) columns with compliant interfaces between the concrete core and steel tube. This model is then used to evaluate exact critical buckling loads and modes of CFST columns. The results prove that interface compliance can considerably reduce the c...

Ethene (H2C=CH2) gas is simulated in a chamber as motion of molecules with molecular mass 28 g/mol.

We present an application of a response surface method in analysis of hydraulic structures on three sample cases: analysis of Moste dam, analysis of large roller gate on the Moste dam, and analysis of measurements of hydraulic jump in the laboratory. In the first two cases the method is used to further analyse the results of a numerical experiment,...

The advantages of the numerical modeling approach are showed for smoke and heat transfer from living room.

In this paper an application of probabilistic methods in the analysis of hydraulic structures is
represented. The response surface method (RSM) is a powerful reliability method that approximates
the response function with a polynomial expression, using the values of the function at specific points.
Coupling this method with an on-site survey of a d...

This paper presents an efficient mathematical model for studying the slip-buckling behaviour of longitudinally delaminated elastic Reissner’s two-layer composite columns. The present mathematical model is used to evaluate exact critical buckling loads of these columns for the first time. The results prove that the presence of longitudinal delaminat...

The paper presents a review of structural mea-
sures that were taken to cope with floods in some cities along
the Danube River, such as Vienna, Bratislava, and Belgrade.
These cities were also considered as case studies within the
KULTURisk project. The structural measures are reviewed
and compared to each other according to the type, duration of
a...

This paper presents an efficient stochastic buckling model for studying the structural reliability of layered composite columns with interlayer slip between the layers and random material and loading parameters. The model is based on the exact buckling model, response surface method, and Monte Carlo simulations. The probability of failure is invest...

A dam failure is one of the most important problems in dam industry.
Since the mechanical behavior of dams is usually a complex phenomenon
existing classical mathematical models are generally insufficient to
adequately predict the dam failure and thus the safety of dams.
Therefore, numerical reliability methods are often used to model such a
comple...

The paper presents a critical review of structural measures that were taken to cope with floods in some
cities along the Danube River, such as Vienna, Bratislava, Belgrade, and Barcolennette area along the
Ubaye River. These cities are also taken as case
studies within the KULTURisk project. The structural measures are critically reviewed and compa...

The principal purpose of the paper is to present an efficient mathematical model for studying the buckling behaviour of geometrically perfect, elastic Reissner’s two-layer composite columns with interlayer slip and uplift between the layers. The present mathematical model is capable of predicting exact critical buckling loads and corresponding buck...

Different mathematical models are proposed and their analytical solutions derived for the analysis of linear elastic Reissner’s multilayer beams. The models take into account different combinations of contact plane conditions, different material properties of individual layers, different transverse shear deformations of each layer, and different bo...

The paper presents a critical review of structural measures that were
taken to cope with floods in some cities along the Danube River, such as
Vienna, Bratislava, Belgrade. These cities are also taken as case
studies within the KULTURisk project. The structural measures are
critically reviewed and compared to each other. Also an analysis of
costs a...

This paper presents a mathematical model for investigating the buckling of geometrically perfect, materially and kinematically non-linear, locally weakened reinforced concrete columns. The present analytical model is based on the linearized stability theory and is capable of predicting exact buckling loads. Based on a systematic parametric analysis...

A mathematical model for structural behavior of timber columns under fire has been proposed. The semi-analytical study has been carried out for evaluating the load-carrying capacity of timber columns exposed to fire. Particular emphasis has been given to critical buckling loads. For this purpose, a parametric study has been performed by which the i...

A mathematical model for a slip-buckling problem has been proposed and its exact solution has been found for the analysis of materially inelastic two-layer composite columns with non-linear interface compliance. The mathematical model has been carried out to evaluate exact critical buckling loads. It has been demonstrated mathematically exactly, th...

This document provides a critical review on the use of structural measures for water related risks. Focus is given to the following topics: lessons learned from past flood defense strategies and new perspectives; structural measures in landslides and slope constructions; structural measures and return period; deterministic
versus probabilistic desi...

This paper presents an efficient mathematical model for studying the buckling behavior of geometrically perfect elastic two-layer composite columns with interlayer slip between the layers. The present analytical model is based on the linearized stability theory and is capable of predicting exact critical buckling loads. Based on the parametric anal...

This paper presents a detailed analysis of the influence of boundary conditions and axial deformation on the critical buckling loads of the geometrically perfect elastic two-layer composite columns with interlayer slip between the layers. An investigation is based on the extension of our preliminary analytical study of slip-buckling behavior of two...

The paper presents a semi-analytical method for computational assessment of times-to-failure and critical temperatures of timber columns exposed to fire. The method is based on the 2D thermo-mechanical analysis, in which a moisture-thermal State of columns is modeled by Luikov equations and, on the other hand, the exact mechanical analysis includin...

An experimental study on the behaviour of glulam beams was performed in order to help us understand the behaviour of glued laminated timber in sheltered outdoor environment. The tests on six loaded and five unloaded glulam beams were initiated in the summer of 2003 and finished in autumn 2006. All relevant quantities (temperature, relative humidity...

The purpose of this paper is to model the behaviour of timber composite beams with interlayer slip, when simultaneously exposed to static loading and fire. A transient moisture-thermal state of a timber beam is analysed by the Luikov equations, and mechanical behaviour of timber composite beam is modelled by Reissner's kinematic equations. The mode...

A mathematical model for slip-buckling has been proposed and its analytical solution has been found for the analysis of layered and geometrically perfect composite columns with inter-layer slip between the layers. The analytical study has been carried out to evaluate exact critical forces and to compare them to those in the literature. Particular e...

This paper presents an effective computational method for non-linear analysis of composite timber beams with interlayer slips. In order to analyse such a composite structure with sufficient accuracy, a new strain based finite element was developed. The method is validated by comparison with experimentally obtained data. Four two-layer timber compos...

The present case study is an example of the use of reliability analysis to asses the failure probability of a tapered glulam beam. This beam is part of a true structure built for a super market in the town of Kokemäki in Finland. The reliability analysis is carried out using the snow load statistics available from the site and on material strength...

A mathematical model is proposed and its analytical solution derived for the analysis of the geometrically and materially linear two-layer beams with different material and geometric characteristics of an individual layer. The model takes into account the effect of the transverse shear deformation on displacements in each layer. The analytical stud...

A new locking-free strain-based finite element formulation for the numerical treatment of linear static analysis of two-layer planar composite beams with interlayer slip is proposed. In this formulation, the modified principle of virtual work is introduced as a basis for the finite element discretization. The linear kinematic equations are included...

Starting with the geometrically non-linear formulation and the subsequent linearization, this paper presents a consistent formulation of the exact mechanical analysis of geometrically and materially linear three-layer continuous planar beams. Each layer of the beam is described by the geometrically linear beam theory. Constitutive laws of layer mat...

This paper describes the modelling of timber beams behaviour when one or more faces are exposed to fire. A computer program for the prediction of two dimensional temperature and water content distribution in timber beams exposed to fire has been developed. The model consists of differential equations for coupled heat and moisture transfer with the...

A new locking-free deformation-based finite element formulation for the numerical treatment of linear static analysis of two-layer planar composite beams with a significant interlayer slip has been proposed. In this formulation, the modified principle of virtual work has been introduced as a basis for the finite element discretization. The linear k...

This paper describes the modelling of timber beams behaviour when one or more faces are exposed to fire. A computer program for the prediction of two dimensional temperature and water content distribution in timber beams exposed to fire has been developed. The model consists of differential equations for coupled heat and moisture transfer with the...

A mathematical model is proposed and its analytical solution is derived for the analysis of the geometrically and materially linear layered beams with an arbitrary number of layers and variable material and geometric characteristics of individual layer. The model takes into account the effect of the transverse shear deformation on displacements in...

The fire design according to Eurocode is more conservative than in the Finnish building codes due to differences in the charring rate and the lateral torsional buckling. The Eurocode design resulted in a higher cross section than the Finnish code, when using the same load combination factor for snow load. The reliability analysis showed that the fi...

## Projects

Projects (6)

Goal: All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new, and future works or messages about any type of "Stability of Beams, Frames, and Trusses", i.e. elements, often thin-walled, losing their stability when are loaded not axially (like columns) but in a transverse plane to the elements' axes ...
... if any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the "Stability of Beams, Frames and Trusses" would be required), He needs to be a follower of a member ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ... ,
... if any Dear Colleague–Collaborator of the project wants to add other Colleagues, which work on the "Stability of Beams, Frames and Trusses" (at least the co/authorship of one work about the "Stability of Beams" would be required) ... - don't hesitate to invite them ...
The main rules of our Project are as follows:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Stability of Beams, Frames, and Trusses" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other,
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works (e.g. as a member of a scientific journal or publishing house editorial board) should give massage about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Stability of Beams, Frames, and Trusses" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed and cited ... , but somebody should do that ...
All Dear Colleagues – Collaborators are invited to be added to the Stability of Structures’s Lab regarding the rules of the Lab:
https://www.researchgate.net/lab/Stability-of-Structuress-Lab-Krzysztof-Murawski
Faithfully Yours
Krzysztof Murawski

All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new and future works or messages about Stability of Structures, especially: buckling, wrinkling, crimpling, crumpling ... and their energy absorption as well as about dynamic stability, slope stability .. of axially and non-axially loaded structures like columns, tubes, pipes, beams, plates, boxes, tanks, silos, pales, poles, pillars, conical shells, thin-walled structures as well as nanostructures, foams, gels.. et cetera .. made of metals, wood, plywood, bamboo, bones, composite, laminate, glass, ceramic, gypsum, concrete, rock, brick .. et cetera ..
If any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the stability and following of 50 Members of the Project would be required), He needs to be a follower of a member of the project ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ...
Naturally, all Dear Colleagues–Collaborators are asked to add every Colleague, which works on the stability (at least the co/authorship of one work about the stability and following of 50 Members of the Project would be required) ... - and don't hesitate to invite them ...
Dear Colleagues–Collaborators, I would like to thank You very much for Your current engagement in our Project, but let me allow to remind You what does mean "Collaboration" in the case of our Project, i.e.:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Stability of Structures" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other (at least 50 Members of the Project),
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 (a minimum number: 50) works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works about "Stability of Structures" (e.g. as a member of a scientific journal or publishing house editorial board) should give massage about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Stability of Structures" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed, and cited ... , but somebody should do that ...
Simultaneously I would like to note that renunciation of the rules of the Project, can be taken by other Collaborators as a kind of dishonesty, especially when a Collaborator would like to obtain a lot of "Reads", "Recommendations" and "Citations", but self doesn't take any so activity .

All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new, and future works or messages about any type of "Wood, bamboo, plywood, and composite ... shaped elements" ...
... if any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the "Wood, plywood, bamboo, ... shaped elements" would be required), He needs to be a follower of a member ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ... ,
... if any Dear Colleague–Collaborator of the project wants to add other Colleagues, which work on the "Wood, bamboo, plywood, and composite ... shaped elements" (at least the co/authorship of one work about the "Wood, bamboo, plywood, and composite ... shaped elements" would be required) ... - don't hesitate to invite them ...
The main rules of our Project are as follows:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Wood, plywood, bamboo, ... shaped elements" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other,
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works (e.g. as a member of a scientific journal or publishing house editorial board) should give massage about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Wood, bamboo, plywood, and composite ... shaped elements" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed and cited ... , but somebody should do that ...
All Dear Colleagues – Collaborators are invited to be added to the Stability of Structures’s Lab regarding the rules of the Lab:
https://www.researchgate.net/lab/Stability-of-Structuress-Lab-Krzysztof-Murawski
Yours faithfully
Krzysztof Murawski