The Methods in a thesis follows the Literature Review and precedes the Results. Describing the experimental design or the algorithm in a step-by-step manner, the Methods lays the foundation for the Results. The Methods often contains the details of materials needed, experimental equipment and tools, and data analysis procedures. Algorithm-based studies usually include the preliminary, as well as main, calculations of algorithms in the Methods.
The introduction provides an overview of the chapter, which concerns the “uniaxial compression test of CFRP-confined concrete cylinders” in 3.2 and the “material test of different CFRP laminate products” in 3.3.
The paragraph summarises the main features of the materials to be used in terms of their quantity (i.e. 48), dimensions (i.e. mm in diameter and height), and strengths (i.e. MPa), signalling the outset of the materials source and collection move. The move continues to develop by stating how the concrete cylinders were obtained and elaborating how the concrete cylinders were wrapped with the FRP (fiber-reinforced polymer) in a step-by-step manner.
The section heading speaks itself. Preceded by the materials source and collection move, the experimental procedures move begins.
The section explains the procedures for measuring the axial strain of the specimen. The experimental setting involving a special aluminium frame and two strain gauges for “centring loading” is described. After explaining the procedures about the axial strain, the section shifts to describe how to deal with the problem of load eccentricity, extending the experimental procedures move.
The experimental procedures move continues in this paragraph, which elaborates how the lateral strain was measured. The sentence “Testing was programmed…” introduces the data analysis move.
The first two sentences (i.e. “A Forney compression… 100 kN/min”) spell out the procedures for the physical examination of the concrete cylinders, marking the beginning of the data analysis move. The third sentence (i.e. “An automatic data…”) states the type of system that was used to record the results of the physical examination.
After detailing the compression tests, the methods of the material tests on FRP laminates are presented in the section.
The introductory paragraph of the section states that three different unidirectional CFRP products were examined in the materials tests, signalling the beginning of another materials source and collection move. After the descriptions about the selected CFRP products and the properties of the intended specimens, the materials source and collection move develops by describing the procedures of preparing specimens.
The section heading, which is the same as that in 3.2.3, speaks itself. Preceded by the materials source and collection move, the experimental procedures move begins.
Upon the completion of the coupon, the first sentence describes the experimental procedure, the adherence of two gauges, performed on the coupon. This constitutes the experimental procedures move. The sentence “Testing was carried out…” signals the start of the data analysis procedures move.
Preceded by the experimental procedures, the data analysis procedures move describes the tensile test by detailing the procedures for the physical examination of the coupon in terms of strains and loads.
Apart from the coupon test, another data analysis procedure, scanning fibers with an electron microscope, was performed to compare the “three different unidirectional CFRP products”.
The introduction provides an overview of the chapter, which concerns the “algorithm for continuous collision detection between two moving ellipses in the plane”. The sentence “We introduce new conditions…” corresponds to 2.1 and 2.2 about separation conditions.
This is the introductory paragraph of the preliminaries move. The first sentence states the purpose of the section, which is “to prove the separation condition for two stationary ellipses”, while the second sentence defines what an ellipse is.
Mathematical notations and equations with assumptions and proofs related to the separation condition for the ellipses are presented.
The condition on the separation of the elliptic disks is presented in the form of a theorem.
Serving signposting purposes, this remark states that the conditions related to the overlapping of two stationary ellipses were established, paving way to the discussion of the resulting algorithm in the next section (i.e. Section 2.3).
A corollary based on the proved theorem about the stationary ellipses is presented, putting an end to this preliminaries move.
This introductory statement states the purpose of the section, marking the beginning of the second preliminaries move about the moving elliptic disks.
The sentence introduces the following theorem about the moving elliptic disks.
This part presents the theorem about the moving elliptic disks with assumptions and proofs.
The corollary related to the moving elliptic disks is presented, concluding the second preliminaries move.
The sentence states the purpose of this section, which is to present the algorithm. Preceded by two preliminaries moves, the algorithm move in the Methods begins.
After delineating the steps of the algorithm about the moving elliptic disks, the algorithm move concludes by introducing the purpose of the following sections, paving way to the presentation of the Results.
The Preliminaries move, which includes the introduction of the system model and the explication of the problem formulation, precedes the presentation of the algorithm. The assumptions alongside constraints underpin computations, making them essential elements in the preliminaries.
The paragraph lists the topics in the section sequentially, introducing the logical flow of ideas and helping readers form expectations of the contents.
The heading explicitly says “Algorithm”, marking the beginning of the Algorithm move.
The last sentence follows up the problem that is not addressed in the section by stating the subsequent section (i.e. 5.4.4) in which the problem is discussed, creating coherence between sections. As the immediate following section is 5.4.3 instead of 5.4.4, the option “foregrounding the following section” is incorrect.
The section is entitled “Optimization Algorithm” in the Algorithm move, which presents detailed calculation steps to derive an algorithm. The section should therefore contain calculation steps of the optimization algorithm.
The heading of the section “Computing Integral Solution” speaks for itself. The section should present the calculation steps to compute the integral solution in detail.
The main content in an Algorithm move is calculation steps instead of background information related to the research topic, which is usually found in earlier chapters such as the Introduction or the Literature Review.
The concluding paragraph in the Methods reminds the readers of the essence of the proposed algorithm and its application on the cutting plane procedure. The option “summarising the results and findings” is likely to be applicable to the concluding paragraph in the Results chapter.